112100102212100 has 72 divisors (see below), whose sum is σ = 245677926648000. Its totient is φ = 44393872176000.

The previous prime is 112100102212099. The next prime is 112100102212123. The reversal of 112100102212100 is 1212201001211.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210814361 + ... + 211345439.

Almost surely, 2^{112100102212100} is an apocalyptic number.

112100102212100 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 112100102212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122838963324000).

112100102212100 is an abundant number, since it is smaller than the sum of its proper divisors (133577824435900).

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

112100102212100 is a wasteful number, since it uses less digits than its factorization.

112100102212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552093 (or 552086 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112100102212100 its reverse (1212201001211), we get a palindrome (113312303213311).

The spelling of 112100102212100 in words is "one hundred twelve trillion, one hundred billion, one hundred two million, two hundred twelve thousand, one hundred".