212102120000000 has 320 divisors, whose sum is σ = 533002415197824. Its totient is φ = 84317760000000.

The previous prime is 212102119999951. The next prime is 212102120000021. The reversal of 212102120000000 is 21201212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6519983735 + ... + 6520016265.

Almost surely, 2^{212102120000000} is an apocalyptic number.

212102120000000 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 212102120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266501207598912).

212102120000000 is an abundant number, since it is smaller than the sum of its proper divisors (320900295197824).

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

212102120000000 is an frugal number, since it uses more digits than its factorization.

212102120000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32747 (or 32701 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 212102120000000 its reverse (21201212), we get a palindrome (212102141201212).

The spelling of 212102120000000 in words is "two hundred twelve trillion, one hundred two billion, one hundred twenty million", and thus it is an aban number.