If you log into bankofamerica.com and click on your checking account there will be a link to the left that says show account number. After that if you search for aba routing number and type in the state that you opened you account it will give you two choices for routing number. The first will be a local state routing number for direct deposit/ach/online transfers. The second will be a nation wide routing number for wire transfers.
The second option is if you call customer service at 800-432-1000 and provide your debit card number as well as answer 2-3 security questions.
The third solution is to go into a branch and present a debit/credit card and a photo ID