112100110010000 has 600 divisors, whose sum is σ = 327932137874880. Its totient is φ = 36252658944000.

The previous prime is 112100110009991. The next prime is 112100110010011. The reversal of 112100110010000 is 10011001211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 112100110010000.

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 201256929722 + ... + 201256930278.

Almost surely, 2^{112100110010000} is an apocalyptic number.

112100110010000 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 112100110010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163966068937440).

112100110010000 is an abundant number, since it is smaller than the sum of its proper divisors (215832027864880).

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

112100110010000 is an frugal number, since it uses more digits than its factorization.

112100110010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 112100110010000 its reverse (10011001211), we get a palindrome (112110121011211).

The spelling of 112100110010000 in words is "one hundred twelve trillion, one hundred billion, one hundred ten million, ten thousand".