112001111000100 has 144 divisors (see below), whose sum is σ = 411500378262400. Its totient is φ = 25600253938560.

The previous prime is 112001111000057. The next prime is 112001111000131. The reversal of 112001111000100 is 1000111100211.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2962973455 + ... + 2963011254.

Almost surely, 2^{112001111000100} is an apocalyptic number.

112001111000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112001111000100 is an abundant number, since it is smaller than the sum of its proper divisors (299499267262300).

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

112001111000100 is a wasteful number, since it uses less digits than its factorization.

112001111000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5925984739 (or 5925984726 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 112001111000100 its reverse (1000111100211), we get a palindrome (113001222100311).

The spelling of 112001111000100 in words is "one hundred twelve trillion, one billion, one hundred eleven million, one hundred", and thus it is an aban number.