100011100100100 has 72 divisors (see below), whose sum is σ = 330703371004608. Its totient is φ = 22859680022400.

The previous prime is 100011100100083. The next prime is 100011100100167. The reversal of 100011100100100 is 1001001110001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23812164591 + ... + 23812168790.

It is an arithmetic number, because the mean of its divisors is an integer number (4593102375064).

Almost surely, 2^{100011100100100} is an apocalyptic number.

100011100100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011100100100 is an abundant number, since it is smaller than the sum of its proper divisors (230692270904508).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100011100100100 is a wasteful number, since it uses less digits than its factorization.

100011100100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47624333405 (or 47624333398 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100011100100100 its reverse (1001001110001), we get a palindrome (101012101210101).

The spelling of 100011100100100 in words is "one hundred trillion, eleven billion, one hundred million, one hundred thousand, one hundred".