211321210000 has 100 divisors (see below), whose sum is σ = 512498448000. Its totient is φ = 84384976000.

The previous prime is 211321209977. The next prime is 211321210007. The reversal of 211321210000 is 12123112.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (211321210007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5972361 + ... + 6007639.

It is an arithmetic number, because the mean of its divisors is an integer number (5124984480).

Almost surely, 2^211321210000 is an apocalyptic number.

211321210000 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 211321210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256249224000).

211321210000 is an abundant number, since it is smaller than the sum of its proper divisors (301177238000).

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

211321210000 is an equidigital number, since it uses as much as digits as its factorization.

211321210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35906 (or 35885 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 211321210000 its reverse (12123112), we get a palindrome (211333333112).

It can be divided in two parts, 2113212 and 10000, that added together give a palindrome (2123212).

The spelling of 211321210000 in words is "two hundred eleven billion, three hundred twenty-one million, two hundred ten thousand".