101122100129 has 2 divisors, whose sum is σ = 101122100130. Its totient is φ = 101122100128.

The previous prime is 101122100117. The next prime is 101122100179. The reversal of 101122100129 is 921001221101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79892153104 + 21229947025 = 282652^2 + 145705^2 .

It is a cyclic number.

It is not a de Polignac number, because 101122100129 - 2⁴ = 101122100113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101122100129.

It is not a weakly prime, because it can be changed into another prime (101122100179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561050064 + 50561050065.

It is an arithmetic number, because the mean of its divisors is an integer number (50561050065).

Almost surely, 2^101122100129 is an apocalyptic number.

It is an amenable number.

101122100129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122100129 is an equidigital number, since it uses as much as digits as its factorization.

101122100129 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 101122100129 in words is "one hundred one billion, one hundred twenty-two million, one hundred thousand, one hundred twenty-nine".