201221221021220 has 12 divisors (see below), whose sum is σ = 422564564144604. Its totient is φ = 80488488408480.

The previous prime is 201221221021207. The next prime is 201221221021253. The reversal of 201221221021220 is 22120122122102.

201221221021220 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 2 ways, for example, as 154666581996004 + 46554639025216 = 12436502^2 + 6823096^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 10061061051061 = 201221221021220 / (2 + 0 + 1 + 2 + 2 + 1 + 2 + 2 + 1 + 0 + 2 + 1 + 2 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 201221221021192 and 201221221021201.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5030530525511 + ... + 5030530525550.

It is an arithmetic number, because the mean of its divisors is an integer number (35213713678717).

Almost surely, 2^{201221221021220} is an apocalyptic number.

201221221021220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201221221021220 is an abundant number, since it is smaller than the sum of its proper divisors (221343343123384).

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

201221221021220 is a wasteful number, since it uses less digits than its factorization.

201221221021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10061061051070 (or 10061061051068 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 201221221021220 its reverse (22120122122102), we get a palindrome (223341343143322).

The spelling of 201221221021220 in words is "two hundred one trillion, two hundred twenty-one billion, two hundred twenty-one million, twenty-one thousand, two hundred twenty".