212102013000000 has 588 divisors, whose sum is σ = 745167724231040. Its totient is φ = 53233228800000.

The previous prime is 212102012999963. The next prime is 212102013000049. The reversal of 212102013000000 is 310201212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 212102013000000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 866877681 + ... + 867122319.

Almost surely, 2^{212102013000000} is an apocalyptic number.

212102013000000 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 212102013000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372583862115520).

212102013000000 is an abundant number, since it is smaller than the sum of its proper divisors (533065711231040).

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

212102013000000 is an frugal number, since it uses more digits than its factorization.

212102013000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244718 (or 244666 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 212102013000000 its reverse (310201212), we get a palindrome (212102323201212).

The spelling of 212102013000000 in words is "two hundred twelve trillion, one hundred two billion, thirteen million", and thus it is an aban number.