112202201202100 has 72 divisors (see below), whose sum is σ = 244984774533408. Its totient is φ = 44603602934400.

The previous prime is 112202201202067. The next prime is 112202201202139. The reversal of 112202201202100 is 1202102202211.

It is a happy number.

It is a congruent number.

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, 25531167 + ... + 29601433.

It is an arithmetic number, because the mean of its divisors is an integer number (3402566312964).

Almost surely, 2^{112202201202100} is an apocalyptic number.

112202201202100 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 112202201202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122492387266704).

112202201202100 is an abundant number, since it is smaller than the sum of its proper divisors (132782573331308).

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

112202201202100 is a wasteful number, since it uses less digits than its factorization.

112202201202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4071985 (or 4071978 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 112202201202100 its reverse (1202102202211), we get a palindrome (113404303404311).

The spelling of 112202201202100 in words is "one hundred twelve trillion, two hundred two billion, two hundred one million, two hundred two thousand, one hundred".