112013584958100 has 1152 divisors, whose sum is σ = 416797283266560. Its totient is φ = 22609910661120.

The previous prime is 112013584958027. The next prime is 112013584958101. The reversal of 112013584958100 is 1859485310211.

112013584958100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112013584958100² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112013584958100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112013584958101) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 33208888014 + ... + 33208891386.

It is an arithmetic number, because the mean of its divisors is an integer number (361803197280).

Almost surely, 2^{112013584958100} is an apocalyptic number.

112013584958100 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 112013584958100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208398641633280).

112013584958100 is an abundant number, since it is smaller than the sum of its proper divisors (304783698308460).

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

112013584958100 is a wasteful number, since it uses less digits than its factorization.

112013584958100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3889 (or 3882 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 48.

The spelling of 112013584958100 in words is "one hundred twelve trillion, thirteen billion, five hundred eighty-four million, nine hundred fifty-eight thousand, one hundred".