10100113129 has 2 divisors, whose sum is σ = 10100113130. Its totient is φ = 10100113128.

The previous prime is 10100113123. The next prime is 10100113139. The reversal of 10100113129 is 92131100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5076847504 + 5023265625 = 71252^2 + 70875^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100113129 - 2⁵ = 10100113097 is a prime.

It is a pancake number, because a pancake can be divided into 10100113129 parts by 142127 straight cuts.

It is not a weakly prime, because it can be changed into another prime (10100113123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050056564 + 5050056565.

It is an arithmetic number, because the mean of its divisors is an integer number (5050056565).

Almost surely, 2^10100113129 is an apocalyptic number.

It is an amenable number.

10100113129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100113129 is an equidigital number, since it uses as much as digits as its factorization.

10100113129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 19.

The spelling of 10100113129 in words is "ten billion, one hundred million, one hundred thirteen thousand, one hundred twenty-nine".