112010100032100 has 144 divisors (see below), whose sum is σ = 327671586245696. Its totient is φ = 29539040256000.

The previous prime is 112010100032081. The next prime is 112010100032113. The reversal of 112010100032100 is 1230001010211.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36984195 + ... + 39898005.

Almost surely, 2^{112010100032100} is an apocalyptic number.

112010100032100 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 112010100032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163835793122848).

112010100032100 is an abundant number, since it is smaller than the sum of its proper divisors (215661486213596).

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

112010100032100 is a wasteful number, since it uses less digits than its factorization.

112010100032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915246 (or 2915239 counting only the distinct ones).

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

Adding to 112010100032100 its reverse (1230001010211), we get a palindrome (113240101042311).

The spelling of 112010100032100 in words is "one hundred twelve trillion, ten billion, one hundred million, thirty-two thousand, one hundred".