202221202000 has 160 divisors (see below), whose sum is σ = 498262752000. Its totient is φ = 79356992000.

The previous prime is 202221201989. The next prime is 202221202003. The reversal of 202221202000 is 202122202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202221202003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70680570 + ... + 70683430.

It is an arithmetic number, because the mean of its divisors is an integer number (3114142200).

Almost surely, 2^202221202000 is an apocalyptic number.

202221202000 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 202221202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249131376000).

202221202000 is an abundant number, since it is smaller than the sum of its proper divisors (296041550000).

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

202221202000 is a wasteful number, since it uses less digits than its factorization.

202221202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3542 (or 3526 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 202221202000 its reverse (202122202), we get a palindrome (202423324202).

The spelling of 202221202000 in words is "two hundred two billion, two hundred twenty-one million, two hundred two thousand".