201221013012320 has 96 divisors (see below), whose sum is σ = 543777957979200. Its totient is φ = 68928953942016.

The previous prime is 201221013012287. The next prime is 201221013012323. The reversal of 201221013012320 is 23210310122102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 201221013012292 and 201221013012301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201221013012323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78302225 + ... + 80831184.

It is an arithmetic number, because the mean of its divisors is an integer number (5664353728950).

Almost surely, 2^{201221013012320} is an apocalyptic number.

201221013012320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201221013012320 is an abundant number, since it is smaller than the sum of its proper divisors (342556944966880).

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

201221013012320 is a wasteful number, since it uses less digits than its factorization.

201221013012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159134560 (or 159134552 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 201221013012320 its reverse (23210310122102), we get a palindrome (224431323134422).

The spelling of 201221013012320 in words is "two hundred one trillion, two hundred twenty-one billion, thirteen million, twelve thousand, three hundred twenty".