111100013100 has 108 divisors (see below), whose sum is σ = 361134557784. Its totient is φ = 29626663680.

The previous prime is 111100013083. The next prime is 111100013111. The reversal of 111100013100 is 1310001111.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×111100013100² (a number of 23 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2261709 + ... + 2310308.

It is an arithmetic number, because the mean of its divisors is an integer number (3343838498).

Almost surely, 2^111100013100 is an apocalyptic number.

111100013100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111100013100 is an abundant number, since it is smaller than the sum of its proper divisors (250034544684).

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

111100013100 is a wasteful number, since it uses less digits than its factorization.

111100013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4572046 (or 4572027 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 111100013100 its reverse (1310001111), we get a palindrome (112410014211).

The spelling of 111100013100 in words is "one hundred eleven billion, one hundred million, thirteen thousand, one hundred".