212100010000212 has 192 divisors, whose sum is σ = 510646583059200. Its totient is φ = 68496622387200.

The previous prime is 212100010000201. The next prime is 212100010000223. The reversal of 212100010000212 is 212000010001212.

It is an interprime number because it is at equal distance from previous prime (212100010000201) and next prime (212100010000223).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25806056239 + ... + 25806064457.

It is an arithmetic number, because the mean of its divisors is an integer number (2659617620100).

Almost surely, 2^{212100010000212} is an apocalyptic number.

It is an amenable number.

212100010000212 is an abundant number, since it is smaller than the sum of its proper divisors (298546573058988).

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

212100010000212 is a wasteful number, since it uses less digits than its factorization.

212100010000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10666 (or 10664 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212100010000212 its reverse (212000010001212), we get a palindrome (424100020001424).

The spelling of 212100010000212 in words is "two hundred twelve trillion, one hundred billion, ten million, two hundred twelve", and thus it is an aban number.