112221120100100 has 144 divisors (see below), whose sum is σ = 272057056567296. Its totient is φ = 39826264464000.

The previous prime is 112221120100049. The next prime is 112221120100123. The reversal of 112221120100100 is 1001021122211.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57262637 + ... + 59189963.

Almost surely, 2^{112221120100100} is an apocalyptic number.

112221120100100 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 112221120100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136028528283648).

112221120100100 is an abundant number, since it is smaller than the sum of its proper divisors (159835936467196).

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

112221120100100 is a wasteful number, since it uses less digits than its factorization.

112221120100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928626 (or 1928619 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112221120100100 its reverse (1001021122211), we get a palindrome (113222141222311).

The spelling of 112221120100100 in words is "one hundred twelve trillion, two hundred twenty-one billion, one hundred twenty million, one hundred thousand, one hundred".