221109830128 has 80 divisors (see below), whose sum is σ = 472175136000. Its totient is φ = 100298235840.

The previous prime is 221109830069. The next prime is 221109830141. The reversal of 221109830128 is 821038901122.

221109830128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 10616301 + ... + 10637107.

It is an arithmetic number, because the mean of its divisors is an integer number (5902189200).

Almost surely, 2^221109830128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221109830128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236087568000).

221109830128 is an abundant number, since it is smaller than the sum of its proper divisors (251065305872).

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

221109830128 is a wasteful number, since it uses less digits than its factorization.

221109830128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21347 (or 21319 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The spelling of 221109830128 in words is "two hundred twenty-one billion, one hundred nine million, eight hundred thirty thousand, one hundred twenty-eight".