2122131001129 has 2 divisors, whose sum is σ = 2122131001130. Its totient is φ = 2122131001128.

The previous prime is 2122131001097. The next prime is 2122131001169. The reversal of 2122131001129 is 9211001312212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1150841909529 + 971289091600 = 1072773^2 + 985540^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122131001129 - 2⁵ = 2122131001097 is a prime.

It is not a weakly prime, because it can be changed into another prime (2122131001169) 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, 1061065500564 + 1061065500565.

It is an arithmetic number, because the mean of its divisors is an integer number (1061065500565).

Almost surely, 2^{2122131001129} is an apocalyptic number.

It is an amenable number.

2122131001129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122131001129 is an equidigital number, since it uses as much as digits as its factorization.

2122131001129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 25.

The spelling of 2122131001129 in words is "two trillion, one hundred twenty-two billion, one hundred thirty-one million, one thousand, one hundred twenty-nine".