211321303210000 has 200 divisors, whose sum is σ = 529917686278200. Its totient is φ = 81514245120000.

The previous prime is 211321303209977. The next prime is 211321303210051. The reversal of 211321303210000 is 12303123112.

It can be written as a sum of positive squares in 20 ways, for example, as 189249986457856 + 22071316752144 = 13756816^2 + 4698012^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a self number, because there is not a number n which added to its sum of digits gives 211321303210000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 237646216 + ... + 238533784.

It is an arithmetic number, because the mean of its divisors is an integer number (2649588431391).

Almost surely, 2^{211321303210000} is an apocalyptic number.

211321303210000 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 211321303210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264958843139100).

211321303210000 is an abundant number, since it is smaller than the sum of its proper divisors (318596383068200).

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

211321303210000 is an equidigital number, since it uses as much as digits as its factorization.

211321303210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888447 (or 888426 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 211321303210000 its reverse (12303123112), we get a palindrome (211333606333112).

The spelling of 211321303210000 in words is "two hundred eleven trillion, three hundred twenty-one billion, three hundred three million, two hundred ten thousand".