212302223310210 has 384 divisors, whose sum is σ = 588390293514240. Its totient is φ = 48894375720960.

The previous prime is 212302223310181. The next prime is 212302223310271. The reversal of 212302223310210 is 12013322203212.

212302223310210 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 191 ways as a sum of consecutive naturals, for example, 24182957601 + ... + 24182966379.

It is an arithmetic number, because the mean of its divisors is an integer number (1532266389360).

Almost surely, 2^{212302223310210} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212302223310210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294195146757120).

212302223310210 is an abundant number, since it is smaller than the sum of its proper divisors (376088070204030).

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

212302223310210 is a wasteful number, since it uses less digits than its factorization.

212302223310210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10774 (or 10763 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 212302223310210 its reverse (12013322203212), we get a palindrome (224315545513422).

The spelling of 212302223310210 in words is "two hundred twelve trillion, three hundred two billion, two hundred twenty-three million, three hundred ten thousand, two hundred ten".