201221212211320 has 128 divisors (see below), whose sum is σ = 518315219452800. Its totient is φ = 68871583604736.

The previous prime is 201221212211317. The next prime is 201221212211321. The reversal of 201221212211320 is 23112212122102.

It is a super-2 number, since 2×201221212211320² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201221212211291 and 201221212211300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201221212211321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2261655796 + ... + 2261744764.

It is an arithmetic number, because the mean of its divisors is an integer number (4049337651975).

Almost surely, 2^{201221212211320} is an apocalyptic number.

201221212211320 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 201221212211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259157609726400).

201221212211320 is an abundant number, since it is smaller than the sum of its proper divisors (317094007241480).

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

201221212211320 is a wasteful number, since it uses less digits than its factorization.

201221212211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102777 (or 102773 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 201221212211320 its reverse (23112212122102), we get a palindrome (224333424333422).

The spelling of 201221212211320 in words is "two hundred one trillion, two hundred twenty-one billion, two hundred twelve million, two hundred eleven thousand, three hundred twenty".