200210202220112 has 240 divisors, whose sum is σ = 464813718589440. Its totient is φ = 83267433849600.

The previous prime is 200210202220111. The next prime is 200210202220139. The reversal of 200210202220112 is 211022202012002.

It is a happy number.

It is a super-3 number, since 3×200210202220112³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200210202220111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1157284883 + ... + 1157457869.

It is an arithmetic number, because the mean of its divisors is an integer number (1936723827456).

Almost surely, 2^{200210202220112} 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 200210202220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232406859294720).

200210202220112 is an abundant number, since it is smaller than the sum of its proper divisors (264603516369328).

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

200210202220112 is a wasteful number, since it uses less digits than its factorization.

200210202220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173390 (or 173377 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 200210202220112 its reverse (211022202012002), we get a palindrome (411232404232114).

The spelling of 200210202220112 in words is "two hundred trillion, two hundred ten billion, two hundred two million, two hundred twenty thousand, one hundred twelve".