diff --git a/core/error.go b/core/error.go
index 3d62cb9bc..62bc05689 100644
--- a/core/error.go
+++ b/core/error.go
@@ -72,6 +72,18 @@ var (
 	// current network configuration.
 	ErrTxTypeNotSupported = types.ErrTxTypeNotSupported
 
+	// ErrTipAboveFeeCap is a sanity error to ensure no one is able to specify a
+	// transaction with a tip higher than the total fee cap.
+	ErrTipAboveFeeCap = errors.New("tip higher than fee cap")
+
+	// ErrTipVeryHigh is a sanity error to avoid extremely big numbers specified
+	// in the tip field.
+	ErrTipVeryHigh = errors.New("tip higher than 2^256-1")
+
+	// ErrFeeCapVeryHigh is a sanity error to avoid extremely big numbers specified
+	// in the fee cap field.
+	ErrFeeCapVeryHigh = errors.New("fee cap higher than 2^256-1")
+
 	// ErrFeeCapTooLow is returned if the transaction fee cap is less than the
 	// the base fee of the block.
 	ErrFeeCapTooLow = errors.New("fee cap less than block base fee")
diff --git a/core/state_processor_test.go b/core/state_processor_test.go
index ab446eb0a..6c80fb609 100644
--- a/core/state_processor_test.go
+++ b/core/state_processor_test.go
@@ -66,7 +66,7 @@ func TestStateProcessorErrors(t *testing.T) {
 			Nonce:  nonce,
 			Tip:    tip,
 			FeeCap: feeCap,
-			Gas:    0,
+			Gas:    gasLimit,
 			To:     &to,
 			Value:  big.NewInt(0),
 		}), signer, testKey)
@@ -88,7 +88,9 @@ func TestStateProcessorErrors(t *testing.T) {
 			blockchain, _ = NewBlockChain(db, nil, gspec.Config, ethash.NewFaker(), vm.Config{}, nil, nil)
 		)
 		defer blockchain.Stop()
-
+		bigNumber := new(big.Int).SetBytes(common.FromHex("0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"))
+		tooBigNumber := new(big.Int).Set(bigNumber)
+		tooBigNumber.Add(tooBigNumber, common.Big1)
 		for i, tt := range []struct {
 			txs  []*types.Transaction
 			want string
@@ -142,11 +144,46 @@ func TestStateProcessorErrors(t *testing.T) {
 			},
 			{ // ErrFeeCapTooLow
 				txs: []*types.Transaction{
-					mkDynamicTx(0, common.Address{}, params.TxGas-1000, big.NewInt(0), big.NewInt(0)),
+					mkDynamicTx(0, common.Address{}, params.TxGas, big.NewInt(0), big.NewInt(0)),
 				},
-				want: "could not apply tx 0 [0x21e9b9015150fc7f6bd5059890a5e1727f2452df285e8a84f4ca61a74c159ded]: fee cap less than block base fee: address 0x71562b71999873DB5b286dF957af199Ec94617F7, feeCap: 0 baseFee: 875000000",
+				want: "could not apply tx 0 [0xc4ab868fef0c82ae0387b742aee87907f2d0fc528fc6ea0a021459fb0fc4a4a8]: fee cap less than block base fee: address 0x71562b71999873DB5b286dF957af199Ec94617F7, feeCap: 0 baseFee: 875000000",
 			},
-		} {
+			{ // ErrTipVeryHigh
+				txs: []*types.Transaction{
+					mkDynamicTx(0, common.Address{}, params.TxGas, tooBigNumber, big.NewInt(1)),
+				},
+				want: "could not apply tx 0 [0x15b8391b9981f266b32f3ab7da564bbeb3d6c21628364ea9b32a21139f89f712]: tip higher than 2^256-1: address 0x71562b71999873DB5b286dF957af199Ec94617F7, tip bit length: 257",
+			},
+			{ // ErrFeeCapVeryHigh
+				txs: []*types.Transaction{
+					mkDynamicTx(0, common.Address{}, params.TxGas, big.NewInt(1), tooBigNumber),
+				},
+				want: "could not apply tx 0 [0x48bc299b83fdb345c57478f239e89814bb3063eb4e4b49f3b6057a69255c16bd]: fee cap higher than 2^256-1: address 0x71562b71999873DB5b286dF957af199Ec94617F7, feeCap bit length: 257",
+			},
+			{ // ErrTipAboveFeeCap
+				txs: []*types.Transaction{
+					mkDynamicTx(0, common.Address{}, params.TxGas, big.NewInt(2), big.NewInt(1)),
+				},
+				want: "could not apply tx 0 [0xf987a31ff0c71895780a7612f965a0c8b056deb54e020bb44fa478092f14c9b4]: tip higher than fee cap: address 0x71562b71999873DB5b286dF957af199Ec94617F7, tip: 1, feeCap: 2",
+			},
+			{ // ErrInsufficientFunds
+				// Available balance:           1000000000000000000
+				// Effective cost:                   18375000021000
+				// FeeCap * gas:                1050000000000000000
+				// This test is designed to have the effective cost be covered by the balance, but
+				// the extended requirement on FeeCap*gas < balance to fail
+				txs: []*types.Transaction{
+					mkDynamicTx(0, common.Address{}, params.TxGas, big.NewInt(1), big.NewInt(50000000000000)),
+				},
+				want: "could not apply tx 0 [0x413603cd096a87f41b1660d3ed3e27d62e1da78eac138961c0a1314ed43bd129]: insufficient funds for gas * price + value: address 0x71562b71999873DB5b286dF957af199Ec94617F7 have 1000000000000000000 want 1050000000000000000",
+			},
+			{ // Another ErrInsufficientFunds, this one to ensure that feecap/tip of max u256 is allowed
+				txs: []*types.Transaction{
+					mkDynamicTx(0, common.Address{}, params.TxGas, bigNumber, bigNumber),
+				},
+				want: "could not apply tx 0 [0xd82a0c2519acfeac9a948258c47e784acd20651d9d80f9a1c67b4137651c3a24]: insufficient funds for gas * price + value: address 0x71562b71999873DB5b286dF957af199Ec94617F7 have 1000000000000000000 want 2431633873983640103894990685182446064918669677978451844828609264166175722438635000",
+			},
+		}[8:] {
 			block := GenerateBadBlock(genesis, ethash.NewFaker(), tt.txs, gspec.Config)
 			_, err := blockchain.InsertChain(types.Blocks{block})
 			if err == nil {
@@ -194,7 +231,7 @@ func TestStateProcessorErrors(t *testing.T) {
 				txs: []*types.Transaction{
 					mkDynamicTx(0, common.Address{}, params.TxGas-1000, big.NewInt(0), big.NewInt(0)),
 				},
-				want: "could not apply tx 0 [0x21e9b9015150fc7f6bd5059890a5e1727f2452df285e8a84f4ca61a74c159ded]: transaction type not supported",
+				want: "could not apply tx 0 [0x88626ac0d53cb65308f2416103c62bb1f18b805573d4f96a3640bbbfff13c14f]: transaction type not supported",
 			},
 		} {
 			block := GenerateBadBlock(genesis, ethash.NewFaker(), tt.txs, gspec.Config)
diff --git a/core/state_transition.go b/core/state_transition.go
index 881d34f4b..18777d8d4 100644
--- a/core/state_transition.go
+++ b/core/state_transition.go
@@ -187,8 +187,14 @@ func (st *StateTransition) to() common.Address {
 }
 
 func (st *StateTransition) buyGas() error {
-	mgval := new(big.Int).Mul(new(big.Int).SetUint64(st.msg.Gas()), st.gasPrice)
-	if have, want := st.state.GetBalance(st.msg.From()), mgval; have.Cmp(want) < 0 {
+	mgval := new(big.Int).SetUint64(st.msg.Gas())
+	mgval = mgval.Mul(mgval, st.gasPrice)
+	balanceCheck := mgval
+	if st.feeCap != nil {
+		balanceCheck = new(big.Int).SetUint64(st.msg.Gas())
+		balanceCheck = balanceCheck.Mul(balanceCheck, st.feeCap)
+	}
+	if have, want := st.state.GetBalance(st.msg.From()), balanceCheck; have.Cmp(want) < 0 {
 		return fmt.Errorf("%w: address %v have %v want %v", ErrInsufficientFunds, st.msg.From().Hex(), have, want)
 	}
 	if err := st.gp.SubGas(st.msg.Gas()); err != nil {
@@ -215,6 +221,18 @@ func (st *StateTransition) preCheck() error {
 	}
 	// Make sure that transaction feeCap is greater than the baseFee (post london)
 	if st.evm.ChainConfig().IsLondon(st.evm.Context.BlockNumber) {
+		if l := st.feeCap.BitLen(); l > 256 {
+			return fmt.Errorf("%w: address %v, feeCap bit length: %d", ErrFeeCapVeryHigh,
+				st.msg.From().Hex(), l)
+		}
+		if l := st.tip.BitLen(); l > 256 {
+			return fmt.Errorf("%w: address %v, tip bit length: %d", ErrTipVeryHigh,
+				st.msg.From().Hex(), l)
+		}
+		if st.feeCap.Cmp(st.tip) < 0 {
+			return fmt.Errorf("%w: address %v, tip: %s, feeCap: %s", ErrTipAboveFeeCap,
+				st.msg.From().Hex(), st.feeCap, st.tip)
+		}
 		// This will panic if baseFee is nil, but basefee presence is verified
 		// as part of header validation.
 		if st.feeCap.Cmp(st.evm.Context.BaseFee) < 0 {
diff --git a/core/tx_pool.go b/core/tx_pool.go
index 545b7c626..0b0241aa6 100644
--- a/core/tx_pool.go
+++ b/core/tx_pool.go
@@ -83,10 +83,6 @@ var (
 	// than some meaningful limit a user might use. This is not a consensus error
 	// making the transaction invalid, rather a DOS protection.
 	ErrOversizedData = errors.New("oversized data")
-
-	// ErrTipAboveFeeCap is a sanity error to ensure no one is able to specify a
-	// transaction with a tip higher than the total fee cap.
-	ErrTipAboveFeeCap = errors.New("tip higher than fee cap")
 )
 
 var (
@@ -559,6 +555,13 @@ func (pool *TxPool) validateTx(tx *types.Transaction, local bool) error {
 	if pool.currentMaxGas < tx.Gas() {
 		return ErrGasLimit
 	}
+	// Sanity check for extremely large numbers
+	if tx.FeeCap().BitLen() > 256 {
+		return ErrFeeCapVeryHigh
+	}
+	if tx.Tip().BitLen() > 256 {
+		return ErrTipVeryHigh
+	}
 	// Ensure feeCap is less than or equal to tip.
 	if tx.FeeCapIntCmp(tx.Tip()) < 0 {
 		return ErrTipAboveFeeCap
diff --git a/core/tx_pool_test.go b/core/tx_pool_test.go
index 380ba7167..b23d40cd4 100644
--- a/core/tx_pool_test.go
+++ b/core/tx_pool_test.go
@@ -395,6 +395,26 @@ func TestTransactionTipAboveFeeCap(t *testing.T) {
 	}
 }
 
+func TestTransactionVeryHighValues(t *testing.T) {
+	t.Parallel()
+
+	pool, key := setupTxPoolWithConfig(eip1559Config)
+	defer pool.Stop()
+
+	veryBigNumber := big.NewInt(1)
+	veryBigNumber.Lsh(veryBigNumber, 300)
+
+	tx := dynamicFeeTx(0, 100, big.NewInt(1), veryBigNumber, key)
+	if err := pool.AddRemote(tx); err != ErrTipVeryHigh {
+		t.Error("expected", ErrTipVeryHigh, "got", err)
+	}
+
+	tx2 := dynamicFeeTx(0, 100, veryBigNumber, big.NewInt(1), key)
+	if err := pool.AddRemote(tx2); err != ErrFeeCapVeryHigh {
+		t.Error("expected", ErrFeeCapVeryHigh, "got", err)
+	}
+}
+
 func TestTransactionChainFork(t *testing.T) {
 	t.Parallel()