201221000002100 has 72 divisors (see below), whose sum is σ = 470291589099360. Its totient is φ = 74288517367680.

The previous prime is 201221000002091. The next prime is 201221000002103. The reversal of 201221000002100 is 1200000122102.

It is a happy number.

201221000002100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201221000002103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2597039 + ... + 20228361.

It is an arithmetic number, because the mean of its divisors is an integer number (6531827626380).

Almost surely, 2^{201221000002100} is an apocalyptic number.

201221000002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201221000002100 is an abundant number, since it is smaller than the sum of its proper divisors (269070589097260).

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

201221000002100 is a wasteful number, since it uses less digits than its factorization.

201221000002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17640129 (or 17640122 counting only the distinct ones).

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

Adding to 201221000002100 its reverse (1200000122102), we get a palindrome (202421000124202).

The spelling of 201221000002100 in words is "two hundred one trillion, two hundred twenty-one billion, two thousand, one hundred".