100221010000 has 200 divisors, whose sum is σ = 256144632480. Its totient is φ = 37870272000.

The previous prime is 100221009983. The next prime is 100221010031. The reversal of 100221010000 is 10122001.

100221010000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

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, 105829527 + ... + 105830473.

Almost surely, 2^100221010000 is an apocalyptic number.

100221010000 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 100221010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128072316240).

100221010000 is an abundant number, since it is smaller than the sum of its proper divisors (155923622480).

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

100221010000 is an equidigital number, since it uses as much as digits as its factorization.

100221010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 100221010000 its reverse (10122001), we get a palindrome (100231132001).

The spelling of 100221010000 in words is "one hundred billion, two hundred twenty-one million, ten thousand".