212202102000000 has 896 divisors, whose sum is σ = 816573497725440. Its totient is φ = 47819520000000.

The previous prime is 212202101999947. The next prime is 212202102000041. The reversal of 212202102000000 is 201202212.

It is a tau number, because it is divible by the number of its divisors (896).

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 212202102000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2981964420 + ... + 2982035580.

It is an arithmetic number, because the mean of its divisors is an integer number (911354350140).

Almost surely, 2^{212202102000000} is an apocalyptic number.

212202102000000 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 212202102000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408286748862720).

212202102000000 is an abundant number, since it is smaller than the sum of its proper divisors (604371395725440).

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

212202102000000 is an frugal number, since it uses more digits than its factorization.

212202102000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71286 (or 71249 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 212202102000000 its reverse (201202212), we get a palindrome (212202303202212).

The spelling of 212202102000000 in words is "two hundred twelve trillion, two hundred two billion, one hundred two million", and thus it is an aban number.