100112102220 has 96 divisors (see below), whose sum is σ = 303409326528. Its totient is φ = 24517850112.

The previous prime is 100112102081. The next prime is 100112102221. The reversal of 100112102220 is 22201211001.

100112102220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 100112102196 and 100112102205.

It is not an unprimeable number, because it can be changed into a prime (100112102221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172099 + ... + 479418.

It is an arithmetic number, because the mean of its divisors is an integer number (3160513818).

Almost surely, 2^100112102220 is an apocalyptic number.

100112102220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112102220 is an abundant number, since it is smaller than the sum of its proper divisors (203297224308).

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

100112102220 is a wasteful number, since it uses less digits than its factorization.

100112102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651739 (or 651737 counting only the distinct ones).

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

Adding to 100112102220 its reverse (22201211001), we get a palindrome (122313313221).

The spelling of 100112102220 in words is "one hundred billion, one hundred twelve million, one hundred two thousand, two hundred twenty".