200202000112129 has 2 divisors, whose sum is σ = 200202000112130. Its totient is φ = 200202000112128.

The previous prime is 200202000112111. The next prime is 200202000112157. The reversal of 200202000112129 is 921211000202002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 192048376855104 + 8153623257025 = 13858152^2 + 2855455^2 .

It is a cyclic number.

It is not a de Polignac number, because 200202000112129 - 2²⁹ = 200201463241217 is a prime.

It is not a weakly prime, because it can be changed into another prime (200202000112199) 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, 100101000056064 + 100101000056065.

It is an arithmetic number, because the mean of its divisors is an integer number (100101000056065).

Almost surely, 2^{200202000112129} is an apocalyptic number.

It is an amenable number.

200202000112129 is a deficient number, since it is larger than the sum of its proper divisors (1).

200202000112129 is an equidigital number, since it uses as much as digits as its factorization.

200202000112129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 200202000112129 in words is "two hundred trillion, two hundred two billion, one hundred twelve thousand, one hundred twenty-nine".