112011101002000 has 160 divisors (see below), whose sum is σ = 276986828851200. Its totient is φ = 43799296320000.

The previous prime is 112011101001953. The next prime is 112011101002091. The reversal of 112011101002000 is 200101110211.

112011101002000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12448441 + ... + 19467559.

It is an arithmetic number, because the mean of its divisors is an integer number (1731167680320).

Almost surely, 2^{112011101002000} is an apocalyptic number.

112011101002000 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 112011101002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138493414425600).

112011101002000 is an abundant number, since it is smaller than the sum of its proper divisors (164975727849200).

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

112011101002000 is a wasteful number, since it uses less digits than its factorization.

112011101002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7019322 (or 7019306 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 112011101002000 its reverse (200101110211), we get a palindrome (112211202112211).

The spelling of 112011101002000 in words is "one hundred twelve trillion, eleven billion, one hundred one million, two thousand".