212202012110200 has 768 divisors, whose sum is σ = 610385032857600. Its totient is φ = 66959253504000.

The previous prime is 212202012110177. The next prime is 212202012110201. The reversal of 212202012110200 is 2011210202212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212202012110201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 163106849550 + ... + 163106850850.

It is an arithmetic number, because the mean of its divisors is an integer number (794772178200).

Almost surely, 2^{212202012110200} is an apocalyptic number.

212202012110200 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 212202012110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305192516428800).

212202012110200 is an abundant number, since it is smaller than the sum of its proper divisors (398183020747400).

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

212202012110200 is a wasteful number, since it uses less digits than its factorization.

212202012110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212202012110200 its reverse (2011210202212), we get a palindrome (214213222312412).

The spelling of 212202012110200 in words is "two hundred twelve trillion, two hundred two billion, twelve million, one hundred ten thousand, two hundred".