201221212100000 has 144 divisors (see below), whose sum is σ = 495210872335032. Its totient is φ = 80480400000000.

The previous prime is 201221212099931. The next prime is 201221212100039. The reversal of 201221212100000 is 1212122102.

201221212100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 178927969948816 + 22293242151184 = 13376396^2 + 4721572^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1050004190 + ... + 1050195810.

Almost surely, 2^{201221212100000} is an apocalyptic number.

201221212100000 is a gapful number since it is divisible by the number (20) 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 201221212100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247605436167516).

201221212100000 is an abundant number, since it is smaller than the sum of its proper divisors (293989660235032).

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

201221212100000 is an equidigital number, since it uses as much as digits as its factorization.

201221212100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202157 (or 202129 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201221212100000 its reverse (1212122102), we get a palindrome (201222424222102).

The spelling of 201221212100000 in words is "two hundred one trillion, two hundred twenty-one billion, two hundred twelve million, one hundred thousand".