112020111020100 has 432 divisors, whose sum is σ = 347949335817216. Its totient is φ = 27817113600000.

The previous prime is 112020111020089. The next prime is 112020111020113. The reversal of 112020111020100 is 1020111020211.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 143 ways as a sum of consecutive naturals, for example, 15770813149 + ... + 15770820251.

Almost surely, 2^{112020111020100} is an apocalyptic number.

112020111020100 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 112020111020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173974667908608).

112020111020100 is an abundant number, since it is smaller than the sum of its proper divisors (235929224797116).

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

112020111020100 is a wasteful number, since it uses less digits than its factorization.

112020111020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9056 (or 9032 counting only the distinct ones).

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

Adding to 112020111020100 its reverse (1020111020211), we get a palindrome (113040222040311).

The spelling of 112020111020100 in words is "one hundred twelve trillion, twenty billion, one hundred eleven million, twenty thousand, one hundred".