221300300210120 has 64 divisors (see below), whose sum is σ = 503594090838000. Its totient is φ = 87512693137408.

The previous prime is 221300300210113. The next prime is 221300300210147. The reversal of 221300300210120 is 21012003003122.

It can be written as a sum of positive squares in 8 ways, for example, as 93040860676 + 221207259349444 = 305026^2 + 14873038^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19776746 + ... + 28874214.

Almost surely, 2^{221300300210120} is an apocalyptic number.

221300300210120 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 221300300210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251797045419000).

221300300210120 is an abundant number, since it is smaller than the sum of its proper divisors (282293790627880).

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

221300300210120 is a wasteful number, since it uses less digits than its factorization.

221300300210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9104402 (or 9104398 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 221300300210120 its reverse (21012003003122), we get a palindrome (242312303213242).

The spelling of 221300300210120 in words is "two hundred twenty-one trillion, three hundred billion, three hundred million, two hundred ten thousand, one hundred twenty".