221088103200 has 216 divisors, whose sum is σ = 780136232148. Its totient is φ = 58917181440.

The previous prime is 221088103193. The next prime is 221088103219. The reversal of 221088103200 is 2301880122.

221088103200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 25960943376 + 195127159824 = 161124^2 + 441732^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11604082 + ... + 11623118.

Almost surely, 2^221088103200 is an apocalyptic number.

221088103200 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 221088103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390068116074).

221088103200 is an abundant number, since it is smaller than the sum of its proper divisors (559048128948).

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

221088103200 is a wasteful number, since it uses less digits than its factorization.

221088103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20676 (or 20660 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 221088103200 its reverse (2301880122), we get a palindrome (223389983322).

The spelling of 221088103200 in words is "two hundred twenty-one billion, eighty-eight million, one hundred three thousand, two hundred".