100221221120000 has 480 divisors, whose sum is σ = 255727544272200. Its totient is φ = 39245709312000.

The previous prime is 100221221119861. The next prime is 100221221120051. The reversal of 100221221120000 is 21122122001.

It can be written as a sum of positive squares in 20 ways, for example, as 52222706934784 + 47998514185216 = 7226528^2 + 6928096^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12801276086 + ... + 12801283914.

Almost surely, 2^{100221221120000} is an apocalyptic number.

100221221120000 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 100221221120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127863772136100).

100221221120000 is an abundant number, since it is smaller than the sum of its proper divisors (155506323152200).

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

100221221120000 is an frugal number, since it uses more digits than its factorization.

100221221120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8081 (or 8046 counting only the distinct ones).

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

Adding to 100221221120000 its reverse (21122122001), we get a palindrome (100242343242001).

The spelling of 100221221120000 in words is "one hundred trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred twenty thousand".