202202220200200 has 768 divisors, whose sum is σ = 556814691936000. Its totient is φ = 67513098240000.

The previous prime is 202202220200153. The next prime is 202202220200203. The reversal of 202202220200200 is 2002022202202.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (202202220200203) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42222219406 + ... + 42222224194.

It is an arithmetic number, because the mean of its divisors is an integer number (725019130125).

Almost surely, 2^{202202220200200} is an apocalyptic number.

202202220200200 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 202202220200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278407345968000).

202202220200200 is an abundant number, since it is smaller than the sum of its proper divisors (354612471735800).

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

202202220200200 is a wasteful number, since it uses less digits than its factorization.

202202220200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5146 (or 5137 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 202202220200200 its reverse (2002022202202), we get a palindrome (204204242402402).

It can be divided in two parts, 2022022 and 20200200, that added together give a palindrome (22222222).

The spelling of 202202220200200 in words is "two hundred two trillion, two hundred two billion, two hundred twenty million, two hundred thousand, two hundred".