22100102910101 has 2 divisors, whose sum is σ = 22100102910102. Its totient is φ = 22100102910100.

The previous prime is 22100102910073. The next prime is 22100102910103. The reversal of 22100102910101 is 10101920100122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17937384915025 + 4162717995076 = 4235255^2 + 2040274^2 .

It is a cyclic number.

It is not a de Polignac number, because 22100102910101 - 2³⁴ = 22082923040917 is a prime.

Together with 22100102910103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22100102910103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050051455050 + 11050051455051.

It is an arithmetic number, because the mean of its divisors is an integer number (11050051455051).

Almost surely, 2^{22100102910101} is an apocalyptic number.

It is an amenable number.

22100102910101 is a deficient number, since it is larger than the sum of its proper divisors (1).

22100102910101 is an equidigital number, since it uses as much as digits as its factorization.

22100102910101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 22100102910101 in words is "twenty-two trillion, one hundred billion, one hundred two million, nine hundred ten thousand, one hundred one".