100010011011000 has 128 divisors (see below), whose sum is σ = 312035823590400. Its totient is φ = 26668944028800.

The previous prime is 100010011010977. The next prime is 100010011011019. The reversal of 100010011011000 is 110110010001.

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 100010011011000.

It is a congruent number.

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, 244472629 + ... + 244881371.

It is an arithmetic number, because the mean of its divisors is an integer number (2437779871800).

Almost surely, 2^{100010011011000} is an apocalyptic number.

100010011011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010011011000 is an abundant number, since it is smaller than the sum of its proper divisors (212025812579400).

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

100010011011000 is a wasteful number, since it uses less digits than its factorization.

100010011011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490326 (or 490312 counting only the distinct ones).

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

Adding to 100010011011000 its reverse (110110010001), we get a palindrome (100120121021001).

The spelling of 100010011011000 in words is "one hundred trillion, ten billion, eleven million, eleven thousand".