100000221200000 has 384 divisors, whose sum is σ = 274335921377280. Its totient is φ = 36003520000000.

The previous prime is 100000221199999. The next prime is 100000221200021. The reversal of 100000221200000 is 2122000001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 444287489 + ... + 444512511.

It is an arithmetic number, because the mean of its divisors is an integer number (714416461920).

Almost surely, 2^{100000221200000} is an apocalyptic number.

100000221200000 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 100000221200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137167960688640).

100000221200000 is an abundant number, since it is smaller than the sum of its proper divisors (174335700177280).

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

100000221200000 is an equidigital number, since it uses as much as digits as its factorization.

100000221200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225174 (or 225142 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 100000221200000 its reverse (2122000001), we get a palindrome (100002343200001).

The spelling of 100000221200000 in words is "one hundred trillion, two hundred twenty-one million, two hundred thousand".