202221001020220 has 192 divisors, whose sum is σ = 524921602867200. Its totient is φ = 63723185326080.

The previous prime is 202221001020193. The next prime is 202221001020223. The reversal of 202221001020220 is 22020100122202.

It is a junction number, because it is equal to n+sod(n) for n = 202221001020194 and 202221001020203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202221001020223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3706437301 + ... + 3706491859.

It is an arithmetic number, because the mean of its divisors is an integer number (2733966681600).

Almost surely, 2^{202221001020220} is an apocalyptic number.

202221001020220 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 202221001020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262460801433600).

202221001020220 is an abundant number, since it is smaller than the sum of its proper divisors (322700601846980).

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

202221001020220 is a wasteful number, since it uses less digits than its factorization.

202221001020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63348 (or 63346 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 202221001020220 its reverse (22020100122202), we get a palindrome (224241101142422).

The spelling of 202221001020220 in words is "two hundred two trillion, two hundred twenty-one billion, one million, twenty thousand, two hundred twenty".