212100201020000 has 120 divisors (see below), whose sum is σ = 522715382065800. Its totient is φ = 84690972032000.

The previous prime is 212100201019961. The next prime is 212100201020033. The reversal of 212100201020000 is 20102001212.

It is a happy number.

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 19 ways as a sum of consecutive naturals, for example, 2061011 + ... + 20698989.

It is an arithmetic number, because the mean of its divisors is an integer number (4355961517215).

Almost surely, 2^{212100201020000} is an apocalyptic number.

212100201020000 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 212100201020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261357691032900).

212100201020000 is an abundant number, since it is smaller than the sum of its proper divisors (310615181045800).

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

212100201020000 is an equidigital number, since it uses as much as digits as its factorization.

212100201020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18638578 (or 18638555 counting only the distinct ones).

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

Adding to 212100201020000 its reverse (20102001212), we get a palindrome (212120303021212).

The spelling of 212100201020000 in words is "two hundred twelve trillion, one hundred billion, two hundred one million, twenty thousand".