22101122112193 has 2 divisors, whose sum is σ = 22101122112194. Its totient is φ = 22101122112192.

The previous prime is 22101122112151. The next prime is 22101122112211. The reversal of 22101122112193 is 39121122110122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18986786608689 + 3114335503504 = 4357383^2 + 1764748^2 .

It is a cyclic number.

It is not a de Polignac number, because 22101122112193 - 2²⁹ = 22100585241281 is a prime.

It is not a weakly prime, because it can be changed into another prime (22101122112593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050561056096 + 11050561056097.

It is an arithmetic number, because the mean of its divisors is an integer number (11050561056097).

Almost surely, 2^{22101122112193} is an apocalyptic number.

It is an amenable number.

22101122112193 is a deficient number, since it is larger than the sum of its proper divisors (1).

22101122112193 is an equidigital number, since it uses as much as digits as its factorization.

22101122112193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 28.

The spelling of 22101122112193 in words is "twenty-two trillion, one hundred one billion, one hundred twenty-two million, one hundred twelve thousand, one hundred ninety-three".