100111101000 has 64 divisors (see below), whose sum is σ = 312346644480. Its totient is φ = 26696292800.

The previous prime is 100111100953. The next prime is 100111101001. The reversal of 100111101000 is 101111001.

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 100111101000.

It is not an unprimeable number, because it can be changed into a prime (100111101001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16682184 + ... + 16688183.

It is an arithmetic number, because the mean of its divisors is an integer number (4880416320).

Almost surely, 2^100111101000 is an apocalyptic number.

100111101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111101000 is an abundant number, since it is smaller than the sum of its proper divisors (212235543480).

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

100111101000 is a wasteful number, since it uses less digits than its factorization.

100111101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33370391 (or 33370377 counting only the distinct ones).

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

Adding to 100111101000 its reverse (101111001), we get a palindrome (100212212001).

The spelling of 100111101000 in words is "one hundred billion, one hundred eleven million, one hundred one thousand".