100638836001 has 12 divisors (see below), whose sum is σ = 158582408400. Its totient is φ = 60993233880.

The previous prime is 100638835991. The next prime is 100638836033.

100638836001 is a `hidden beast` number, since 10 + 0 + 6 + 38 + 8 + 3 + 600 + 1 = 666.

100638836001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100638836001 - 2⁶ = 100638835937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100638834001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 508276851 + ... + 508277048.

It is an arithmetic number, because the mean of its divisors is an integer number (13215200700).

Almost surely, 2^100638836001 is an apocalyptic number.

100638836001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100638836001 is a deficient number, since it is larger than the sum of its proper divisors (57943572399).

100638836001 is a wasteful number, since it uses less digits than its factorization.

100638836001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016553916 (or 1016553913 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

It can be divided in two parts, 100638 and 836001, that added together give a palindrome (936639).

The spelling of 100638836001 in words is "one hundred billion, six hundred thirty-eight million, eight hundred thirty-six thousand, one".