100111011011000 has 64 divisors (see below), whose sum is σ = 255556108136160. Its totient is φ = 36404004000000.

The previous prime is 100111011010987. The next prime is 100111011011057. The reversal of 100111011011000 is 110110111001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4550489501 + ... + 4550511500.

Almost surely, 2^{100111011011000} is an apocalyptic number.

100111011011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111011011000 is an abundant number, since it is smaller than the sum of its proper divisors (155445097125160).

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

100111011011000 is a wasteful number, since it uses less digits than its factorization.

100111011011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9101001033 (or 9101001019 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100111011011000 its reverse (110110111001), we get a palindrome (100221121122001).

The spelling of 100111011011000 in words is "one hundred trillion, one hundred eleven billion, eleven million, eleven thousand".