22100001022129 has 2 divisors, whose sum is σ = 22100001022130. Its totient is φ = 22100001022128.

The previous prime is 22100001022067. The next prime is 22100001022147. The reversal of 22100001022129 is 92122010000122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18308600111025 + 3791400911104 = 4278855^2 + 1947152^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-22100001022129 is a prime.

It is not a weakly prime, because it can be changed into another prime (22100001022199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050000511064 + 11050000511065.

It is an arithmetic number, because the mean of its divisors is an integer number (11050000511065).

Almost surely, 2^{22100001022129} is an apocalyptic number.

It is an amenable number.

22100001022129 is a deficient number, since it is larger than the sum of its proper divisors (1).

22100001022129 is an equidigital number, since it uses as much as digits as its factorization.

22100001022129 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 22.

The spelling of 22100001022129 in words is "twenty-two trillion, one hundred billion, one million, twenty-two thousand, one hundred twenty-nine".