100221033312000 has 432 divisors, whose sum is σ = 370371156722112. Its totient is φ = 26003292364800.

The previous prime is 100221033311909. The next prime is 100221033312017. The reversal of 100221033312000 is 213330122001.

100221033312000 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 210 + 333 + 120 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 5953437 + ... + 15358563.

Almost surely, 2^{100221033312000} is an apocalyptic number.

100221033312000 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 100221033312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185185578361056).

100221033312000 is an abundant number, since it is smaller than the sum of its proper divisors (270150123410112).

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

100221033312000 is an equidigital number, since it uses as much as digits as its factorization.

100221033312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9405201 (or 9405174 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100221033312000 its reverse (213330122001), we get a palindrome (100434363434001).

The spelling of 100221033312000 in words is "one hundred trillion, two hundred twenty-one billion, thirty-three million, three hundred twelve thousand".