10200100313129 has 2 divisors, whose sum is σ = 10200100313130. Its totient is φ = 10200100313128.

The previous prime is 10200100313057. The next prime is 10200100313159. The reversal of 10200100313129 is 92131300100201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7594626547225 + 2605473765904 = 2755835^2 + 1614148^2 .

It is a cyclic number.

It is not a de Polignac number, because 10200100313129 - 2²⁴ = 10200083535913 is a prime.

It is not a weakly prime, because it can be changed into another prime (10200100313159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100050156564 + 5100050156565.

It is an arithmetic number, because the mean of its divisors is an integer number (5100050156565).

Almost surely, 2^{10200100313129} is an apocalyptic number.

It is an amenable number.

10200100313129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200100313129 is an equidigital number, since it uses as much as digits as its factorization.

10200100313129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 23.

The spelling of 10200100313129 in words is "ten trillion, two hundred billion, one hundred million, three hundred thirteen thousand, one hundred twenty-nine".