112013301110100 has 576 divisors, whose sum is σ = 356834361139200. Its totient is φ = 26963543439360.

The previous prime is 112013301110071. The next prime is 112013301110129. The reversal of 112013301110100 is 1011103310211.

112013301110100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (112013301110071) and next prime (112013301110129).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112013301110100.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 12921128566 + ... + 12921137234.

It is an arithmetic number, because the mean of its divisors is an integer number (619504099200).

Almost surely, 2^{112013301110100} is an apocalyptic number.

112013301110100 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 112013301110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178417180569600).

112013301110100 is an abundant number, since it is smaller than the sum of its proper divisors (244821060029100).

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

112013301110100 is a wasteful number, since it uses less digits than its factorization.

112013301110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9184 (or 9177 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 112013301110100 its reverse (1011103310211), we get a palindrome (113024404420311).

The spelling of 112013301110100 in words is "one hundred twelve trillion, thirteen billion, three hundred one million, one hundred ten thousand, one hundred".