100112120220 has 96 divisors (see below), whose sum is σ = 321266792448. Its totient is φ = 22817912832.

The previous prime is 100112120191. The next prime is 100112120243. The reversal of 100112120220 is 22021211001.

It is a super-2 number, since 2×100112120220² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100112120196 and 100112120205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189364 + ... + 485883.

It is an arithmetic number, because the mean of its divisors is an integer number (3346529088).

Almost surely, 2^100112120220 is an apocalyptic number.

100112120220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112120220 is an abundant number, since it is smaller than the sum of its proper divisors (221154672228).

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

100112120220 is a wasteful number, since it uses less digits than its factorization.

100112120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675619 (or 675617 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100112120220 its reverse (22021211001), we get a palindrome (122133331221).

The spelling of 100112120220 in words is "one hundred billion, one hundred twelve million, one hundred twenty thousand, two hundred twenty".