202200220200 has 576 divisors, whose sum is σ = 734504863680. Its totient is φ = 45819699200.

The previous prime is 202200220199. The next prime is 202200220237. The reversal of 202200220200 is 2022002202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 213516127 + ... + 213517073.

It is an arithmetic number, because the mean of its divisors is an integer number (1275182055).

Almost surely, 2^202200220200 is an apocalyptic number.

202200220200 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 202200220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367252431840).

202200220200 is an abundant number, since it is smaller than the sum of its proper divisors (532304643480).

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

202200220200 is a wasteful number, since it uses less digits than its factorization.

202200220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 202200220200 its reverse (2022002202), we get a palindrome (204222222402).

202200220200 divided by its reverse (2022002202) gives a square (100 = 10²).

The spelling of 202200220200 in words is "two hundred two billion, two hundred million, two hundred twenty thousand, two hundred".