21122100112291 has 2 divisors, whose sum is σ = 21122100112292. Its totient is φ = 21122100112290.

The previous prime is 21122100112259. The next prime is 21122100112301. The reversal of 21122100112291 is 19221100122112.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 21122100112291 - 2⁵ = 21122100112259 is a prime.

It is a super-2 number, since 2×21122100112291² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21122100118291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10561050056145 + 10561050056146.

It is an arithmetic number, because the mean of its divisors is an integer number (10561050056146).

Almost surely, 2^{21122100112291} is an apocalyptic number.

21122100112291 is a deficient number, since it is larger than the sum of its proper divisors (1).

21122100112291 is an equidigital number, since it uses as much as digits as its factorization.

21122100112291 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 25.

The spelling of 21122100112291 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred million, one hundred twelve thousand, two hundred ninety-one".