100029857401 has 16 divisors (see below), whose sum is σ = 102909605760. Its totient is φ = 97200759040.

The previous prime is 100029857393. The next prime is 100029857429. The reversal of 100029857401 is 104758920001.

It is a cyclic number.

It is not a de Polignac number, because 100029857401 - 2³ = 100029857393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100029857101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1401291 + ... + 1470943.

It is an arithmetic number, because the mean of its divisors is an integer number (6431850360).

Almost surely, 2^100029857401 is an apocalyptic number.

It is an amenable number.

100029857401 is a deficient number, since it is larger than the sum of its proper divisors (2879748359).

100029857401 is a wasteful number, since it uses less digits than its factorization.

100029857401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70016.

The product of its (nonzero) digits is 20160, while the sum is 37.

The spelling of 100029857401 in words is "one hundred billion, twenty-nine million, eight hundred fifty-seven thousand, four hundred one".