<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2021-08-06</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001854863</issuerCik>
        <issuerName>Blue Whale Acquisition Corp I</issuerName>
        <issuerTradingSymbol>BWCA</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001775215</rptOwnerCik>
            <rptOwnerName>MIC Capital Partners (Public) Parallel Cayman, LP</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O WALKERS CORPORATE LIMITED. 190</rptOwnerStreet1>
            <rptOwnerStreet2>ELGIN AVENUE, GEORGE TOWN</rptOwnerStreet2>
            <rptOwnerCity>GRAND CAYMAN</rptOwnerCity>
            <rptOwnerState>E9</rptOwnerState>
            <rptOwnerZipCode>KY1-9008</rptOwnerZipCode>
            <rptOwnerStateDescription>CAYMAN ISLANDS</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Class A Ordinary Shares</value>
            </securityTitle>
            <transactionDate>
                <value>2021-08-06</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>2000000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>2000000</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                    <footnoteId id="F1"/>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">On August 6, 2021, Blue Whale Acquisition Corp I (&quot;BWCA&quot;) consummated its Initial Public Offering of 20,000,000 units at $10.00 per unit (the &quot;IPO&quot;). In connection with the IPO, MIC Capital Partners (Public) Parallel Cayman, LP, the direct parent of Blue Whale Sponsor I LLC, purchased 2,000,000 units. Each unit consists of one Issuer Class A ordinary share (&quot;Class A Ordinary Share&quot;) and one-fourth of one warrant . Each whole warrant entitles the holder to purchase one Class A Ordinary Share at a price of $11.50 per share, subject to adjustment. The warrants will become exercisable, if at all, 30 days after the completion of an initial business combination, and will expire five years after the completion of such initial business combination or earlier upon redemption or liquidation.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>MIC Capital Partners, (Public) Parallel Cayman, LP, By: /s/ Rodney Cannon, as Authorised Signatory</signatureName>
        <signatureDate>2021-08-10</signatureDate>
    </ownerSignature>
</ownershipDocument>
