100222221220000 has 1440 divisors, whose sum is σ = 286288229403792. Its totient is φ = 34467840000000.

The previous prime is 100222221219917. The next prime is 100222221220007. The reversal of 100222221220000 is 22122222001.

It can be written as a sum of positive squares in 40 ways, for example, as 69158051441424 + 31064169778576 = 8316132^2 + 5573524^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (100222221220007) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 731549059932 + ... + 731549060068.

Almost surely, 2^{100222221220000} is an apocalyptic number.

100222221220000 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 100222221220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143144114701896).

100222221220000 is an abundant number, since it is smaller than the sum of its proper divisors (186066008183792).

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

100222221220000 is a wasteful number, since it uses less digits than its factorization.

100222221220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 370 counting only the distinct ones).

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

Adding to 100222221220000 its reverse (22122222001), we get a palindrome (100244343442001).

It can be divided in two parts, 1002222 and 21220000, that added together give a palindrome (22222222).

The spelling of 100222221220000 in words is "one hundred trillion, two hundred twenty-two billion, two hundred twenty-one million, two hundred twenty thousand".