210120221000 has 256 divisors, whose sum is σ = 559704038400. Its totient is φ = 73340928000.

The previous prime is 210120220997. The next prime is 210120221011. The reversal of 210120221000 is 122021012.

It is a happy number.

210120221000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15174080 + ... + 15187920.

It is an arithmetic number, because the mean of its divisors is an integer number (2186343900).

Almost surely, 2^210120221000 is an apocalyptic number.

210120221000 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 210120221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279852019200).

210120221000 is an abundant number, since it is smaller than the sum of its proper divisors (349583817400).

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

210120221000 is a wasteful number, since it uses less digits than its factorization.

210120221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13945 (or 13931 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 210120221000 its reverse (122021012), we get a palindrome (210242242012).

The spelling of 210120221000 in words is "two hundred ten billion, one hundred twenty million, two hundred twenty-one thousand".