21211032321000 has 768 divisors, whose sum is σ = 74021723380800. Its totient is φ = 5475824640000.

The previous prime is 21211032320981. The next prime is 21211032321023. The reversal of 21211032321000 is 12323011212.

21211032321000 is a `hidden beast` number, since 2 + 121 + 10 + 323 + 210 + 0 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 3852293351076 + 17358738969924 = 1962726^2 + 4166382^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 191 ways as a sum of consecutive naturals, for example, 19126268446 + ... + 19126269554.

Almost surely, 2^{21211032321000} is an apocalyptic number.

21211032321000 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 21211032321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37010861690400).

21211032321000 is an abundant number, since it is smaller than the sum of its proper divisors (52810691059800).

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

21211032321000 is a wasteful number, since it uses less digits than its factorization.

21211032321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21211032321000 its reverse (12323011212), we get a palindrome (21223355332212).

The spelling of 21211032321000 in words is "twenty-one trillion, two hundred eleven billion, thirty-two million, three hundred twenty-one thousand".