112100102120100 has 144 divisors (see below), whose sum is σ = 326422916374016. Its totient is φ = 29701676160000.

The previous prime is 112100102120099. The next prime is 112100102120107. The reversal of 112100102120100 is 1021201001211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (112100102120107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1667353485 + ... + 1667420715.

Almost surely, 2^{112100102120100} is an apocalyptic number.

112100102120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112100102120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163211458187008).

112100102120100 is an abundant number, since it is smaller than the sum of its proper divisors (214322814253916).

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

112100102120100 is a wasteful number, since it uses less digits than its factorization.

112100102120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102806 (or 102799 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112100102120100 its reverse (1021201001211), we get a palindrome (113121303121311).

The spelling of 112100102120100 in words is "one hundred twelve trillion, one hundred billion, one hundred two million, one hundred twenty thousand, one hundred".