112404044000100 has 288 divisors, whose sum is σ = 327526006743936. Its totient is φ = 29762949632000.

The previous prime is 112404044000023. The next prime is 112404044000273. The reversal of 112404044000100 is 1000440404211.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68664656482 + ... + 68664658118.

It is an arithmetic number, because the mean of its divisors is an integer number (1137243078972).

Almost surely, 2^{112404044000100} is an apocalyptic number.

112404044000100 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 112404044000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163763003371968).

112404044000100 is an abundant number, since it is smaller than the sum of its proper divisors (215121962743836).

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

112404044000100 is a wasteful number, since it uses less digits than its factorization.

112404044000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4015 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 112404044000100 its reverse (1000440404211), we get a palindrome (113404484404311).

The spelling of 112404044000100 in words is "one hundred twelve trillion, four hundred four billion, forty-four million, one hundred", and thus it is an aban number.