100021002221000 has 256 divisors, whose sum is σ = 283690184094720. Its totient is φ = 32264179200000.

The previous prime is 100021002220969. The next prime is 100021002221117. The reversal of 100021002221000 is 122200120001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4728800 + ... + 14913200.

It is an arithmetic number, because the mean of its divisors is an integer number (1108164781620).

Almost surely, 2^{100021002221000} is an apocalyptic number.

100021002221000 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 100021002221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141845092047360).

100021002221000 is an abundant number, since it is smaller than the sum of its proper divisors (183669181873720).

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

100021002221000 is a wasteful number, since it uses less digits than its factorization.

100021002221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10184513 (or 10184499 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100021002221000 its reverse (122200120001), we get a palindrome (100143202341001).

The spelling of 100021002221000 in words is "one hundred trillion, twenty-one billion, two million, two hundred twenty-one thousand".