112112112103100 has 144 divisors (see below), whose sum is σ = 252558174575616. Its totient is φ = 43166812896000.

The previous prime is 112112112102997. The next prime is 112112112103127. The reversal of 112112112103100 is 1301211211211.

It is a super-2 number, since 2×112112112103100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5585766065 + ... + 5585786135.

Almost surely, 2^{112112112103100} is an apocalyptic number.

112112112103100 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 112112112103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126279087287808).

112112112103100 is an abundant number, since it is smaller than the sum of its proper divisors (140446062472516).

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

112112112103100 is a wasteful number, since it uses less digits than its factorization.

112112112103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39676 (or 39669 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 112112112103100 its reverse (1301211211211), we get a palindrome (113413323314311).

The spelling of 112112112103100 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred twelve million, one hundred three thousand, one hundred".