111112000100 has 36 divisors (see below), whose sum is σ = 241669977444. Its totient is φ = 44342138880.

The previous prime is 111112000081. The next prime is 111112000157. The reversal of 111112000100 is 1000211111.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 47231459584 + 63880540516 = 217328^2 + 252746^2 .

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 11 ways as a sum of consecutive naturals, for example, 1239749 + ... + 1326348.

It is an arithmetic number, because the mean of its divisors is an integer number (6713054929).

Almost surely, 2^111112000100 is an apocalyptic number.

111112000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111112000100 is an abundant number, since it is smaller than the sum of its proper divisors (130557977344).

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

111112000100 is a wasteful number, since it uses less digits than its factorization.

111112000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566544 (or 2566537 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 111112000100 its reverse (1000211111), we get a palindrome (112112211211).

It can be divided in two parts, 111 and 112000100, that added together give a palindrome (112000211).

The spelling of 111112000100 in words is "one hundred eleven billion, one hundred twelve million, one hundred", and thus it is an aban number.