100413102129 has 16 divisors (see below), whose sum is σ = 135062452800. Its totient is φ = 66355301376.

The previous prime is 100413102079. The next prime is 100413102203. The reversal of 100413102129 is 921201314001.

It is not a de Polignac number, because 100413102129 - 2²⁴ = 100396324913 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100413102099 and 100413102108.

It is not an unprimeable number, because it can be changed into a prime (100413102329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130624 + ... + 466785.

It is an arithmetic number, because the mean of its divisors is an integer number (8441403300).

Almost surely, 2^100413102129 is an apocalyptic number.

It is an amenable number.

100413102129 is a deficient number, since it is larger than the sum of its proper divisors (34649350671).

100413102129 is a wasteful number, since it uses less digits than its factorization.

100413102129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597904.

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 100413102129 in words is "one hundred billion, four hundred thirteen million, one hundred two thousand, one hundred twenty-nine".