210221100000 has 432 divisors, whose sum is σ = 752331316464. Its totient is φ = 55676160000.

The previous prime is 210221099989. The next prime is 210221100029. The reversal of 210221100000 is 1122012.

210221100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 146699284 + ... + 146700716.

It is an arithmetic number, because the mean of its divisors is an integer number (1741507677).

Almost surely, 2^210221100000 is an apocalyptic number.

210221100000 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 210221100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376165658232).

210221100000 is an abundant number, since it is smaller than the sum of its proper divisors (542110216464).

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

210221100000 is a wasteful number, since it uses less digits than its factorization.

210221100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 210221100000 its reverse (1122012), we get a palindrome (210222222012).

The spelling of 210221100000 in words is "two hundred ten billion, two hundred twenty-one million, one hundred thousand".