221234102320 has 480 divisors, whose sum is σ = 671547303936. Its totient is φ = 66992486400.

The previous prime is 221234102311. The next prime is 221234102351. The reversal of 221234102320 is 23201432122.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 221234102291 and 221234102300.

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, 350608405 + ... + 350609035.

Almost surely, 2^221234102320 is an apocalyptic number.

221234102320 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 221234102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335773651968).

221234102320 is an abundant number, since it is smaller than the sum of its proper divisors (450313201616).

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

221234102320 is a wasteful number, since it uses less digits than its factorization.

221234102320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 221234102320 its reverse (23201432122), we get a palindrome (244435534442).

The spelling of 221234102320 in words is "two hundred twenty-one billion, two hundred thirty-four million, one hundred two thousand, three hundred twenty".