122013109993121 has 2 divisors, whose sum is σ = 122013109993122. Its totient is φ = 122013109993120.

The previous prime is 122013109993111. The next prime is 122013109993139. The reversal of 122013109993121 is 121399901310221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100549532898721 + 21463577094400 = 10027439^2 + 4632880^2 .

It is a cyclic number.

It is not a de Polignac number, because 122013109993121 - 2²² = 122013105798817 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (122013109993111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61006554996560 + 61006554996561.

It is an arithmetic number, because the mean of its divisors is an integer number (61006554996561).

Almost surely, 2^{122013109993121} is an apocalyptic number.

It is an amenable number.

122013109993121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122013109993121 is an equidigital number, since it uses as much as digits as its factorization.

122013109993121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52488, while the sum is 44.

The spelling of 122013109993121 in words is "one hundred twenty-two trillion, thirteen billion, one hundred nine million, nine hundred ninety-three thousand, one hundred twenty-one".