202221202120 has 128 divisors (see below), whose sum is σ = 526328616960. Its totient is φ = 68491929600.

The previous prime is 202221202111. The next prime is 202221202121. The reversal of 202221202120 is 21202122202.

It is a junction number, because it is equal to n+sod(n) for n = 202221202094 and 202221202103.

It is not an unprimeable number, because it can be changed into a prime (202221202121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12916137 + ... + 12931783.

It is an arithmetic number, because the mean of its divisors is an integer number (4111942320).

Almost surely, 2^202221202120 is an apocalyptic number.

202221202120 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 202221202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263164308480).

202221202120 is an abundant number, since it is smaller than the sum of its proper divisors (324107414840).

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

202221202120 is a wasteful number, since it uses less digits than its factorization.

202221202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16223 (or 16219 counting only the distinct ones).

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

Adding to 202221202120 its reverse (21202122202), we get a palindrome (223423324322).

The spelling of 202221202120 in words is "two hundred two billion, two hundred twenty-one million, two hundred two thousand, one hundred twenty".