100112110221120 has 56 divisors (see below), whose sum is σ = 317855949955104. Its totient is φ = 26696562725376.

The previous prime is 100112110221089. The next prime is 100112110221163. The reversal of 100112110221120 is 21122011211001.

It is a happy number.

It is a super-2 number, since 2×100112110221120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100112110221120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52141723114 + ... + 52141725033.

Almost surely, 2^{100112110221120} is an apocalyptic number.

100112110221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112110221120 is an abundant number, since it is smaller than the sum of its proper divisors (217743839733984).

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

100112110221120 is a wasteful number, since it uses less digits than its factorization.

100112110221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104283448167 (or 104283448157 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100112110221120 its reverse (21122011211001), we get a palindrome (121234121432121).

The spelling of 100112110221120 in words is "one hundred trillion, one hundred twelve billion, one hundred ten million, two hundred twenty-one thousand, one hundred twenty".