2002055092129 has 2 divisors, whose sum is σ = 2002055092130. Its totient is φ = 2002055092128.

The previous prime is 2002055092097. The next prime is 2002055092139. The reversal of 2002055092129 is 9212905502002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1230652985104 + 771402107025 = 1109348^2 + 878295^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002055092129 - 2⁵ = 2002055092097 is a prime.

It is not a weakly prime, because it can be changed into another prime (2002055092139) 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, 1001027546064 + 1001027546065.

It is an arithmetic number, because the mean of its divisors is an integer number (1001027546065).

Almost surely, 2^{2002055092129} is an apocalyptic number.

It is an amenable number.

2002055092129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002055092129 is an equidigital number, since it uses as much as digits as its factorization.

2002055092129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32400, while the sum is 37.

The spelling of 2002055092129 in words is "two trillion, two billion, fifty-five million, ninety-two thousand, one hundred twenty-nine".