22100202002129 has 2 divisors, whose sum is σ = 22100202002130. Its totient is φ = 22100202002128.

The previous prime is 22100202002077. The next prime is 22100202002141. The reversal of 22100202002129 is 92120020200122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15509994222529 + 6590207779600 = 3938273^2 + 2567140^2 .

It is a cyclic number.

It is not a de Polignac number, because 22100202002129 - 2²⁰ = 22100200953553 is a prime.

It is not a weakly prime, because it can be changed into another prime (22100202002029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050101001064 + 11050101001065.

It is an arithmetic number, because the mean of its divisors is an integer number (11050101001065).

Almost surely, 2^{22100202002129} is an apocalyptic number.

It is an amenable number.

22100202002129 is a deficient number, since it is larger than the sum of its proper divisors (1).

22100202002129 is an equidigital number, since it uses as much as digits as its factorization.

22100202002129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 23.

The spelling of 22100202002129 in words is "twenty-two trillion, one hundred billion, two hundred two million, two thousand, one hundred twenty-nine".