112210221120100 has 72 divisors (see below), whose sum is σ = 246205349496680. Its totient is φ = 44385450577920.

The previous prime is 112210221120083. The next prime is 112210221120143. The reversal of 112210221120100 is 1021122012211.

It can be written as a sum of positive squares in 12 ways, for example, as 42621390592036 + 69588830528064 = 6528506^2 + 8341992^2 .

It is a super-2 number, since 2×112210221120100² (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 23 ways as a sum of consecutive naturals, for example, 7323046 + ... + 16674754.

Almost surely, 2^{112210221120100} is an apocalyptic number.

112210221120100 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 112210221120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123102674748340).

112210221120100 is an abundant number, since it is smaller than the sum of its proper divisors (133995128376580).

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

112210221120100 is a wasteful number, since it uses less digits than its factorization.

112210221120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9353057 (or 9353050 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112210221120100 its reverse (1021122012211), we get a palindrome (113231343132311).

The spelling of 112210221120100 in words is "one hundred twelve trillion, two hundred ten billion, two hundred twenty-one million, one hundred twenty thousand, one hundred".