112113332100 has 864 divisors, whose sum is σ = 472129781760. Its totient is φ = 21555072000.

The previous prime is 112113332083. The next prime is 112113332119. The reversal of 112113332100 is 1233311211.

112113332100 is a `hidden beast` number, since 1 + 121 + 1 + 333 + 210 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 287 ways as a sum of consecutive naturals, for example, 49409766 + ... + 49412034.

Almost surely, 2^112113332100 is an apocalyptic number.

112113332100 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 112113332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236064890880).

112113332100 is an abundant number, since it is smaller than the sum of its proper divisors (360016449660).

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

112113332100 is a wasteful number, since it uses less digits than its factorization.

112113332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 112113332100 its reverse (1233311211), we get a palindrome (113346643311).

The spelling of 112113332100 in words is "one hundred twelve billion, one hundred thirteen million, three hundred thirty-two thousand, one hundred".