2031122120129 has 2 divisors, whose sum is σ = 2031122120130. Its totient is φ = 2031122120128.

The previous prime is 2031122120117. The next prime is 2031122120201. The reversal of 2031122120129 is 9210212211302.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1077491748529 + 953630371600 = 1038023^2 + 976540^2 .

It is a cyclic number.

It is not a de Polignac number, because 2031122120129 - 2³⁶ = 1962402643393 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2031122120098 and 2031122120107.

It is not a weakly prime, because it can be changed into another prime (2031122120029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1015561060064 + 1015561060065.

It is an arithmetic number, because the mean of its divisors is an integer number (1015561060065).

Almost surely, 2^{2031122120129} is an apocalyptic number.

It is an amenable number.

2031122120129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2031122120129 is an equidigital number, since it uses as much as digits as its factorization.

2031122120129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 2031122120129 in words is "two trillion, thirty-one billion, one hundred twenty-two million, one hundred twenty thousand, one hundred twenty-nine".