2 × 11 × 41 × 271 × 9091
1, 2, 11, 22, 41, 82, 271, 451, 542, 902, 2981, 5962, 9091, 11111, 18182, 22222, 100001, 122221, 200002, 244442, 372731, 745462, 2463661, 4100041, 4927322, 8200082, 27100271, 54200542, 101010101, 202020202, 1111111111 and 2222222222
No.
Its nearest Fibonacci number neighbors are 1836311903 and 2971215073.