210321221000 has 128 divisors (see below), whose sum is σ = 537277104000. Its totient is φ = 76425696000.

The previous prime is 210321220981. The next prime is 210321221017. The reversal of 210321221000 is 122123012.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 17362946 + ... + 17375054.

It is an arithmetic number, because the mean of its divisors is an integer number (4197477375).

Almost surely, 2^210321221000 is an apocalyptic number.

210321221000 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 210321221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268638552000).

210321221000 is an abundant number, since it is smaller than the sum of its proper divisors (326955883000).

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

210321221000 is a wasteful number, since it uses less digits than its factorization.

210321221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13720 (or 13706 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 210321221000 its reverse (122123012), we get a palindrome (210443344012).

It can be divided in two parts, 2103212 and 21000, that added together give a palindrome (2124212).

The spelling of 210321221000 in words is "two hundred ten billion, three hundred twenty-one million, two hundred twenty-one thousand".