Einstein did get very popular with the ladies as a result of his fame.
Einstein married Elsa soon after the divorce, but a few years later began an affair with Betty Neumann, the niece of a friend. By one account, Elsa allowed Einstein to carry on with this affair to prevent him sneaking around. That relationship ended in 1924, but Einstein continued to have liaisons with other women until well after Elsa's death in 1936. He didn't remarry.From The other side of Albert Einstein.
Einstein wanted and enjoyed the company of women, and his intellectual celebrity certainly wouldn't have hurt his chances with the socialites of Berlin or, later, the women of America. The relationships rarely lasted, however – usually once they were established, Einstein cooled off and looked elsewhere. Avoiding deep emotional ties in this way may have given him the solitude he needed to pursue his work, but few would find such behaviour admirable.