112302213332100 has 576 divisors, whose sum is σ = 376973872128000. Its totient is φ = 25556186880000.

The previous prime is 112302213332093. The next prime is 112302213332117. The reversal of 112302213332100 is 1233312203211.

It is a super-2 number, since 2×112302213332100² (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 191 ways as a sum of consecutive naturals, for example, 679100226 + ... + 679265574.

It is an arithmetic number, because the mean of its divisors is an integer number (654468528000).

Almost surely, 2^{112302213332100} is an apocalyptic number.

112302213332100 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 112302213332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188486936064000).

112302213332100 is an abundant number, since it is smaller than the sum of its proper divisors (264671658795900).

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

112302213332100 is a wasteful number, since it uses less digits than its factorization.

112302213332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165604 (or 165597 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 112302213332100 its reverse (1233312203211), we get a palindrome (113535525535311).

The spelling of 112302213332100 in words is "one hundred twelve trillion, three hundred two billion, two hundred thirteen million, three hundred thirty-two thousand, one hundred".