212100021020000 has 240 divisors, whose sum is σ = 535318929295920. Its totient is φ = 82669602816000.

The previous prime is 212100021019979. The next prime is 212100021020003. The reversal of 212100021020000 is 20120001212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212100021020003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 120304856 + ... + 122055144.

It is an arithmetic number, because the mean of its divisors is an integer number (2230495538733).

Almost surely, 2^{212100021020000} is an apocalyptic number.

212100021020000 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 212100021020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267659464647960).

212100021020000 is an abundant number, since it is smaller than the sum of its proper divisors (323218908275920).

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

212100021020000 is an equidigital number, since it uses as much as digits as its factorization.

212100021020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750475 (or 1750452 counting only the distinct ones).

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

Adding to 212100021020000 its reverse (20120001212), we get a palindrome (212120141021212).

The spelling of 212100021020000 in words is "two hundred twelve trillion, one hundred billion, twenty-one million, twenty thousand".