112120102100 has 36 divisors (see below), whose sum is σ = 243414725148. Its totient is φ = 44827008000.

The previous prime is 112120102099. The next prime is 112120102141. The reversal of 112120102100 is 1201021211.

112120102100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 16176278596 + 95943823504 = 127186^2 + 309748^2 .

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 11 ways as a sum of consecutive naturals, for example, 47741 + ... + 475940.

It is an arithmetic number, because the mean of its divisors is an integer number (6761520143).

Almost surely, 2^112120102100 is an apocalyptic number.

112120102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112120102100 is an abundant number, since it is smaller than the sum of its proper divisors (131294623048).

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

112120102100 is a wasteful number, since it uses less digits than its factorization.

112120102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525836 (or 525829 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 112120102100 its reverse (1201021211), we get a palindrome (113321123311).

The spelling of 112120102100 in words is "one hundred twelve billion, one hundred twenty million, one hundred two thousand, one hundred".