112241205312100 has 72 divisors (see below), whose sum is σ = 247252122929448. Its totient is φ = 44218290816000.

The previous prime is 112241205311971. The next prime is 112241205312109. The reversal of 112241205312100 is 1213502142211.

It can be written as a sum of positive squares in 12 ways, for example, as 27708516876544 + 84532688435556 = 5263888^2 + 9194166^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (112241205312109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5849539 + ... + 16084138.

It is an arithmetic number, because the mean of its divisors is an integer number (3434057262909).

Almost surely, 2^{112241205312100} is an apocalyptic number.

112241205312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112241205312100 is an abundant number, since it is smaller than the sum of its proper divisors (135010917617348).

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

112241205312100 is a wasteful number, since it uses less digits than its factorization.

112241205312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21934465 (or 21934458 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 112241205312100 its reverse (1213502142211), we get a palindrome (113454707454311).

The spelling of 112241205312100 in words is "one hundred twelve trillion, two hundred forty-one billion, two hundred five million, three hundred twelve thousand, one hundred".