11102122013291 has 2 divisors, whose sum is σ = 11102122013292. Its totient is φ = 11102122013290.

The previous prime is 11102122013249. The next prime is 11102122013329. The reversal of 11102122013291 is 19231022120111.

It is a strong prime.

It is an emirp because it is prime and its reverse (19231022120111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11102122013291 - 2³⁸ = 10827244106347 is a prime.

It is a super-2 number, since 2×11102122013291² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11102122013291.

It is not a weakly prime, because it can be changed into another prime (11102122613291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5551061006645 + 5551061006646.

It is an arithmetic number, because the mean of its divisors is an integer number (5551061006646).

Almost surely, 2^{11102122013291} is an apocalyptic number.

11102122013291 is a deficient number, since it is larger than the sum of its proper divisors (1).

11102122013291 is an equidigital number, since it uses as much as digits as its factorization.

11102122013291 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 26.

The spelling of 11102122013291 in words is "eleven trillion, one hundred two billion, one hundred twenty-two million, thirteen thousand, two hundred ninety-one".