221312320110200 has 384 divisors, whose sum is σ = 593991257840640. Its totient is φ = 75899366400000.

The previous prime is 221312320110169. The next prime is 221312320110209. The reversal of 221312320110200 is 2011023213122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221312320110209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1231564757 + ... + 1231744443.

It is an arithmetic number, because the mean of its divisors is an integer number (1546852233960).

Almost surely, 2^{221312320110200} is an apocalyptic number.

221312320110200 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 221312320110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296995628920320).

221312320110200 is an abundant number, since it is smaller than the sum of its proper divisors (372678937730440).

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

221312320110200 is a wasteful number, since it uses less digits than its factorization.

221312320110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180079 (or 180070 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 221312320110200 its reverse (2011023213122), we get a palindrome (223323343323322).

The spelling of 221312320110200 in words is "two hundred twenty-one trillion, three hundred twelve billion, three hundred twenty million, one hundred ten thousand, two hundred".