101022223022129 has 2 divisors, whose sum is σ = 101022223022130. Its totient is φ = 101022223022128.

The previous prime is 101022223022107. The next prime is 101022223022159. The reversal of 101022223022129 is 921220322220101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85693807839025 + 15328415183104 = 9257095^2 + 3915152^2 .

It is a cyclic number.

It is not a de Polignac number, because 101022223022129 - 2²⁰ = 101022221973553 is a prime.

It is not a weakly prime, because it can be changed into another prime (101022223022159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50511111511064 + 50511111511065.

It is an arithmetic number, because the mean of its divisors is an integer number (50511111511065).

Almost surely, 2^{101022223022129} is an apocalyptic number.

It is an amenable number.

101022223022129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022223022129 is an equidigital number, since it uses as much as digits as its factorization.

101022223022129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 101022223022129 in words is "one hundred one trillion, twenty-two billion, two hundred twenty-three million, twenty-two thousand, one hundred twenty-nine".