100111000011000 has 256 divisors, whose sum is σ = 349950672414720. Its totient is φ = 23613405120000.

The previous prime is 100111000010981. The next prime is 100111000011097. The reversal of 100111000011000 is 110000111001.

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 a self number, because there is not a number n which added to its sum of digits gives 100111000011000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39774496 + ... + 42216495.

It is an arithmetic number, because the mean of its divisors is an integer number (1366994814120).

Almost surely, 2^{100111000011000} is an apocalyptic number.

100111000011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111000011000 is an abundant number, since it is smaller than the sum of its proper divisors (249839672403720).

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

100111000011000 is a wasteful number, since it uses less digits than its factorization.

100111000011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81991063 (or 81991049 counting only the distinct ones).

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

Adding to 100111000011000 its reverse (110000111001), we get a palindrome (100221000122001).

The spelling of 100111000011000 in words is "one hundred trillion, one hundred eleven billion, eleven thousand".