100222221220 has 288 divisors, whose sum is σ = 244377489888. Its totient is φ = 34467840000.

The previous prime is 100222221181. The next prime is 100222221241. The reversal of 100222221220 is 22122222001.

It can be written as a sum of positive squares in 16 ways, for example, as 13431882816 + 86790338404 = 115896^2 + 294602^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100222221194 and 100222221203.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 731548992 + ... + 731549128.

It is an arithmetic number, because the mean of its divisors is an integer number (848532951).

Almost surely, 2^100222221220 is an apocalyptic number.

100222221220 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 100222221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122188744944).

100222221220 is an abundant number, since it is smaller than the sum of its proper divisors (144155268668).

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

100222221220 is a wasteful number, since it uses less digits than its factorization.

100222221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 100222221220 its reverse (22122222001), we get a palindrome (122344443221).

It can be divided in two parts, 1002 and 22221220, that added together give a palindrome (22222222).

The spelling of 100222221220 in words is "one hundred billion, two hundred twenty-two million, two hundred twenty-one thousand, two hundred twenty".