100001111100 has 144 divisors (see below), whose sum is σ = 334207109376. Its totient is φ = 22816640000.

The previous prime is 100001111057. The next prime is 100001111129. The reversal of 100001111100 is 1111100001.

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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 835176 + ... + 947375.

It is an arithmetic number, because the mean of its divisors is an integer number (2320882704).

Almost surely, 2^100001111100 is an apocalyptic number.

100001111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001111100 is an abundant number, since it is smaller than the sum of its proper divisors (234205998276).

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

100001111100 is a wasteful number, since it uses less digits than its factorization.

100001111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782596 (or 1782589 counting only the distinct ones).

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

Adding to 100001111100 its reverse (1111100001), we get a palindrome (101112211101).

The spelling of 100001111100 in words is "one hundred billion, one million, one hundred eleven thousand, one hundred".