221101320 has 256 divisors, whose sum is σ = 783820800. Its totient is φ = 49295360.

The previous prime is 221101267. The next prime is 221101327. The reversal of 221101320 is 23101122.

221101320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 221101296 and 221101305.

It is not an unprimeable number, because it can be changed into a prime (221101327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1323877 + ... + 1324043.

It is an arithmetic number, because the mean of its divisors is an integer number (3061800).

Almost surely, 2^221101320 is an apocalyptic number.

221101320 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 221101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391910400).

221101320 is an abundant number, since it is smaller than the sum of its proper divisors (562719480).

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

221101320 is a wasteful number, since it uses less digits than its factorization.

221101320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 221101320 is about 14869.4761172006. The cubic root of 221101320 is about 604.6867399052.

Adding to 221101320 its reverse (23101122), we get a palindrome (244202442).

The spelling of 221101320 in words is "two hundred twenty-one million, one hundred one thousand, three hundred twenty".