112100011201002 has 96 divisors (see below), whose sum is σ = 248765914970496. Its totient is φ = 33648723440640.

The previous prime is 112100011200953. The next prime is 112100011201021. The reversal of 112100011201002 is 200102110001211.

112100011201002 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 2×112100011201002² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135524643 + ... + 136349289.

It is an arithmetic number, because the mean of its divisors is an integer number (2591311614276).

Almost surely, 2^{112100011201002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112100011201002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124382957485248).

112100011201002 is an abundant number, since it is smaller than the sum of its proper divisors (136665903769494).

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

112100011201002 is a wasteful number, since it uses less digits than its factorization.

112100011201002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826444 (or 826433 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112100011201002 its reverse (200102110001211), we get a palindrome (312202121202213).

The spelling of 112100011201002 in words is "one hundred twelve trillion, one hundred billion, eleven million, two hundred one thousand, two".