112112111202100 has 18 divisors (see below), whose sum is σ = 243283281308774. Its totient is φ = 44844844480800.

The previous prime is 112112111202083. The next prime is 112112111202139. The reversal of 112112111202100 is 1202111211211.

It can be written as a sum of positive squares in 3 ways, for example, as 21881794128804 + 90230317073296 = 4677798^2 + 9498964^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 560560555911 + ... + 560560556110.

Almost surely, 2^{112112111202100} is an apocalyptic number.

112112111202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112112111202100 is an abundant number, since it is smaller than the sum of its proper divisors (131171170106674).

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

112112111202100 is a wasteful number, since it uses less digits than its factorization.

112112111202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121121112035 (or 1121121112028 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 112112111202100 its reverse (1202111211211), we get a palindrome (113314222413311).

The spelling of 112112111202100 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred eleven million, two hundred two thousand, one hundred".