202201022021220 has 288 divisors, whose sum is σ = 645521650222176. Its totient is φ = 51164520652800.

The previous prime is 202201022021189. The next prime is 202201022021221. The reversal of 202201022021220 is 22120220102202.

202201022021220 is a `hidden beast` number, since 2 + 0 + 2 + 201 + 0 + 220 + 21 + 220 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 132070982621796 + 70130039399424 = 11492214^2 + 8374368^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202201022021193 and 202201022021202.

It is not an unprimeable number, because it can be changed into a prime (202201022021221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 748322382 + ... + 748592538.

It is an arithmetic number, because the mean of its divisors is an integer number (2241394618827).

Almost surely, 2^{202201022021220} is an apocalyptic number.

202201022021220 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 202201022021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322760825111088).

202201022021220 is an abundant number, since it is smaller than the sum of its proper divisors (443320628200956).

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

202201022021220 is a wasteful number, since it uses less digits than its factorization.

202201022021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272991 (or 272986 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 202201022021220 its reverse (22120220102202), we get a palindrome (224321242123422).

The spelling of 202201022021220 in words is "two hundred two trillion, two hundred one billion, twenty-two million, twenty-one thousand, two hundred twenty".