If your SSN is wrong on your form W-2, you have to ask your employer to correct it and issue you a corrected W-2 form (called W-2c).
If for any reason your employer does not correct your form W-2, you can call the IRS and they can help by calling your employer.
Please read this IRS document for more information:
https://www.irs.gov/faqs/irs-procedures/w-2-additional-incorrect-lost-non-receipt-omitted/w-2-additi...