100221033000000 has 588 divisors, whose sum is σ = 364328928092528. Its totient is φ = 24295920000000.

The previous prime is 100221032999921. The next prime is 100221033000071. The reversal of 100221033000000 is 330122001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 100221033000000.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 362861955 + ... + 363138045.

Almost surely, 2^{100221033000000} is an apocalyptic number.

100221033000000 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 100221033000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182164464046264).

100221033000000 is an abundant number, since it is smaller than the sum of its proper divisors (264107895092528).

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

100221033000000 is an frugal number, since it uses more digits than its factorization.

100221033000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276158 (or 276112 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 100221033000000 its reverse (330122001), we get a palindrome (100221363122001).

The spelling of 100221033000000 in words is "one hundred trillion, two hundred twenty-one billion, thirty-three million", and thus it is an aban number.