That shouldn't really pose a problem -- or at least not one that will prevent you from filing your tax return.
The only truly necessary elements on a W-2 for income tax filing purposes are your employer's federal EIN (Employer's ID number), your own Social Security Number (SSN), and your actual wage data.
With respect to the employer state number ID, it won't really matter what you input in Box 15 Employer ID, as long as the software will accept it (explained below).
Simply enter as many digits as you can, from the number you have, as printed on your W-2, starting from the beginning (left-side). If there are any "leading" zeros, or other figures like AA or something, then you can leave those off as well.
Click this link for more info on Employer State ID is Too Long.
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