100112221220 has 192 divisors, whose sum is σ = 238880710656. Its totient is φ = 34929323520.

The previous prime is 100112221177. The next prime is 100112221229. The reversal of 100112221220 is 22122211001.

It is a junction number, because it is equal to n+sod(n) for n = 100112221195 and 100112221204.

It is not an unprimeable number, because it can be changed into a prime (100112221229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134740169 + ... + 134740911.

It is an arithmetic number, because the mean of its divisors is an integer number (1244170368).

Almost surely, 2^100112221220 is an apocalyptic number.

100112221220 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 100112221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119440355328).

100112221220 is an abundant number, since it is smaller than the sum of its proper divisors (138768489436).

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

100112221220 is a wasteful number, since it uses less digits than its factorization.

100112221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100112221220 its reverse (22122211001), we get a palindrome (122234432221).

It can be divided in two parts, 1001 and 12221220, that added together give a palindrome (12222221).

The spelling of 100112221220 in words is "one hundred billion, one hundred twelve million, two hundred twenty-one thousand, two hundred twenty".