210221221120 has 36 divisors (see below), whose sum is σ = 503545521780. Its totient is φ = 84088487936.

The previous prime is 210221221079. The next prime is 210221221141. The reversal of 210221221120 is 21122122012.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 59528192256 + 150693028864 = 243984^2 + 388192^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 210221221094 and 210221221103.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 82116385 + ... + 82118944.

It is an arithmetic number, because the mean of its divisors is an integer number (13987375605).

Almost surely, 2^210221221120 is an apocalyptic number.

210221221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210221221120 is an abundant number, since it is smaller than the sum of its proper divisors (293324300660).

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

210221221120 is an equidigital number, since it uses as much as digits as its factorization.

210221221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164235350 (or 164235336 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 210221221120 its reverse (21122122012), we get a palindrome (231343343132).

The spelling of 210221221120 in words is "two hundred ten billion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty".