221232213313110 has 192 divisors, whose sum is σ = 615851885376000. Its totient is φ = 54939388230144.

The previous prime is 221232213313087. The next prime is 221232213313123. The reversal of 221232213313110 is 11313312232122.

221232213313110 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 322 + 1 + 331 + 3 + 1 + 1 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24327634 + ... + 32160506.

It is an arithmetic number, because the mean of its divisors is an integer number (3207561903000).

Almost surely, 2^{221232213313110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221232213313110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307925942688000).

221232213313110 is an abundant number, since it is smaller than the sum of its proper divisors (394619672062890).

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

221232213313110 is a wasteful number, since it uses less digits than its factorization.

221232213313110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7833187 (or 7833184 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 221232213313110 its reverse (11313312232122), we get a palindrome (232545525545232).

The spelling of 221232213313110 in words is "two hundred twenty-one trillion, two hundred thirty-two billion, two hundred thirteen million, three hundred thirteen thousand, one hundred ten".