The best thing you can do, is to have your employer correct your W-2. You will not be able to electronically file with your social security number incorrect.
Until it is corrected, the IRS will not have the document available to match to your social security number and it could lead to an examination of your return because of the mismatch.
Additionally, if your social security number is incorrect, then you will not get credit for those wages with the Social Security Administration and your future benefits would be affected.
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