200210222202112 has 72 divisors (see below), whose sum is σ = 407580701195304. Its totient is φ = 98119372775424.

The previous prime is 200210222202083. The next prime is 200210222202113. The reversal of 200210222202112 is 211202222012002.

It can be written as a sum of positive squares in 4 ways, for example, as 29575150396416 + 170635071805696 = 5438304^2 + 13062736^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 200210222202112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200210222202113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6461038 + ... + 21027730.

It is an arithmetic number, because the mean of its divisors is an integer number (5660843072157).

Almost surely, 2^{200210222202112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200210222202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203790350597652).

200210222202112 is an abundant number, since it is smaller than the sum of its proper divisors (207370478993192).

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

200210222202112 is a wasteful number, since it uses less digits than its factorization.

200210222202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14567775 (or 14567761 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 200210222202112 its reverse (211202222012002), we get a palindrome (411412444214114).

The spelling of 200210222202112 in words is "two hundred trillion, two hundred ten billion, two hundred twenty-two million, two hundred two thousand, one hundred twelve".