202122200332200 has 384 divisors, whose sum is σ = 676226168755200. Its totient is φ = 49774056192000.

The previous prime is 202122200332189. The next prime is 202122200332211. The reversal of 202122200332200 is 2233002221202.

It is an interprime number because it is at equal distance from previous prime (202122200332189) and next prime (202122200332211).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 543400285 + ... + 543772115.

It is an arithmetic number, because the mean of its divisors is an integer number (1761005647800).

Almost surely, 2^{202122200332200} is an apocalyptic number.

202122200332200 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 202122200332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338113084377600).

202122200332200 is an abundant number, since it is smaller than the sum of its proper divisors (474103968423000).

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

202122200332200 is a wasteful number, since it uses less digits than its factorization.

202122200332200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373073 (or 373064 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 202122200332200 its reverse (2233002221202), we get a palindrome (204355202553402).

The spelling of 202122200332200 in words is "two hundred two trillion, one hundred twenty-two billion, two hundred million, three hundred thirty-two thousand, two hundred".