202022122100000 has 144 divisors (see below), whose sum is σ = 498443785056000. Its totient is φ = 80595617760000.

The previous prime is 202022122099949. The next prime is 202022122100011. The reversal of 202022122100000 is 1221220202.

202022122100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35234801 + ... + 40565199.

It is an arithmetic number, because the mean of its divisors is an integer number (3461415174000).

Almost surely, 2^{202022122100000} is an apocalyptic number.

202022122100000 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 202022122100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249221892528000).

202022122100000 is an abundant number, since it is smaller than the sum of its proper divisors (296421662956000).

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

202022122100000 is an frugal number, since it uses more digits than its factorization.

202022122100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5330813 (or 5330785 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 202022122100000 its reverse (1221220202), we get a palindrome (202023343320202).

The spelling of 202022122100000 in words is "two hundred two trillion, twenty-two billion, one hundred twenty-two million, one hundred thousand".