112100111122100 has 72 divisors (see below), whose sum is σ = 245485008849696. Its totient is φ = 44430431760000.

The previous prime is 112100111122091. The next prime is 112100111122163. The reversal of 112100111122100 is 1221111001211.

It is a super-2 number, since 2×112100111122100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 2186135 + ... + 15132065.

Almost surely, 2^{112100111122100} is an apocalyptic number.

112100111122100 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 112100111122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122742504424848).

112100111122100 is an abundant number, since it is smaller than the sum of its proper divisors (133384897727596).

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

112100111122100 is a wasteful number, since it uses less digits than its factorization.

112100111122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12946737 (or 12946730 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 112100111122100 its reverse (1221111001211), we get a palindrome (113321222123311).

It can be divided in two parts, 112100111 and 122100, that added together give a palindrome (112222211).

The spelling of 112100111122100 in words is "one hundred twelve trillion, one hundred billion, one hundred eleven million, one hundred twenty-two thousand, one hundred".