100221121000000 has 1176 divisors, whose sum is σ = 339758116040448. Its totient is φ = 28832832000000.

The previous prime is 100221120999959. The next prime is 100221121000001. The reversal of 100221121000000 is 121122001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (100221121000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 7006992849 + ... + 7007007151.

Almost surely, 2^{100221121000000} is an apocalyptic number.

100221121000000 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 100221121000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169879058020224).

100221121000000 is an abundant number, since it is smaller than the sum of its proper divisors (239536995040448).

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

100221121000000 is an equidigital number, since it uses as much as digits as its factorization.

100221121000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14383 (or 14341 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100221121000000 its reverse (121122001), we get a palindrome (100221242122001).

The spelling of 100221121000000 in words is "one hundred trillion, two hundred twenty-one billion, one hundred twenty-one million", and thus it is an aban number.