5 × 11 × 41 × 271 × 9091
1, 5, 11, 41, 55, 205, 271, 451, 1355, 2255, 2981, 9091, 11111, 14905, 45455, 55555, 100001, 122221, 372731, 500005, 611105, 1863655, 2463661, 4100041, 12318305, 20500205, 27100271, 101010101, 135501355, 505050505, 1111111111 and 5555555555
No.
Its nearest Fibonacci number neighbors are 4807526976 and 7778742049.