100100111001000 has 128 divisors (see below), whose sum is σ = 340704377919360. Its totient is φ = 24266693568000.

The previous prime is 100100111000983. The next prime is 100100111001061. The reversal of 100100111001000 is 100111001001.

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 100100111001000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1516635349 + ... + 1516701348.

It is an arithmetic number, because the mean of its divisors is an integer number (2661752952495).

Almost surely, 2^{100100111001000} is an apocalyptic number.

100100111001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100111001000 is an abundant number, since it is smaller than the sum of its proper divisors (240604266918360).

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

100100111001000 is a wasteful number, since it uses less digits than its factorization.

100100111001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033336732 (or 3033336718 counting only the distinct ones).

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

Adding to 100100111001000 its reverse (100111001001), we get a palindrome (100200222002001).

Subtracting from 100100111001000 its reverse (100111001001), we obtain a palindrome (99999999999999).

It can be divided in two parts, 10010011 and 1001000, that added together give a palindrome (11011011).

The spelling of 100100111001000 in words is "one hundred trillion, one hundred billion, one hundred eleven million, one thousand".