Lifelong Learning Accounts Act of 2011 - Amends the Internal Revenue Code to: (1) establish tax-exempt lifelong learning accounts to pay certain educational expenses, including tuition, fees, books, supplies, and information technology devices required for the education of, or courses of instruction of, the account beneficiary; (2) allow individuals between ages 18 and 71 an income-based tax credit for cash contributions to their lifelong learning accounts; (3) exclude from employee gross income employer contributions to a lifelong learning account; and (4) allow employers a tax credit for contributions made to the lifelong learning accounts of their employees and for administrative costs associated with small employer lifelong learning accounts.