112011202221100 has 576 divisors, whose sum is σ = 324102706099200. Its totient is φ = 32597270691840.

The previous prime is 112011202221097. The next prime is 112011202221103. The reversal of 112011202221100 is 1122202110211.

It is an interprime number because it is at equal distance from previous prime (112011202221097) and next prime (112011202221103).

It is not an unprimeable number, because it can be changed into a prime (112011202221103) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1487712256 + ... + 1487787544.

It is an arithmetic number, because the mean of its divisors is an integer number (562678309200).

Almost surely, 2^{112011202221100} is an apocalyptic number.

112011202221100 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 112011202221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162051353049600).

112011202221100 is an abundant number, since it is smaller than the sum of its proper divisors (212091503878100).

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

112011202221100 is a wasteful number, since it uses less digits than its factorization.

112011202221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75562 (or 75555 counting only the distinct ones).

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

Adding to 112011202221100 its reverse (1122202110211), we get a palindrome (113133404331311).

The spelling of 112011202221100 in words is "one hundred twelve trillion, eleven billion, two hundred two million, two hundred twenty-one thousand, one hundred".