101001100011000 has 384 divisors, whose sum is σ = 385865437651200. Its totient is φ = 21870914284800.

The previous prime is 101001100010971. The next prime is 101001100011017. The reversal of 101001100011000 is 110001100101.

101001100011000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 101001100011000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15288114 + ... + 20874113.

It is an arithmetic number, because the mean of its divisors is an integer number (1004857910550).

Almost surely, 2^{101001100011000} is an apocalyptic number.

101001100011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001100011000 is an abundant number, since it is smaller than the sum of its proper divisors (284864337640200).

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

101001100011000 is a wasteful number, since it uses less digits than its factorization.

101001100011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36162284 (or 36162263 counting only the distinct ones).

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

Adding to 101001100011000 its reverse (110001100101), we get a palindrome (101111101111101).

The spelling of 101001100011000 in words is "one hundred one trillion, one billion, one hundred million, eleven thousand".