221102220 has 96 divisors (see below), whose sum is σ = 658409472. Its totient is φ = 55314688.

The previous prime is 221102213. The next prime is 221102227. The reversal of 221102220 is 22201122.

It is an interprime number because it is at equal distance from previous prime (221102213) and next prime (221102227).

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 = 221102196 and 221102205.

It is not an unprimeable number, because it can be changed into a prime (221102227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71629 + ... + 74651.

It is an arithmetic number, because the mean of its divisors is an integer number (6858432).

Almost surely, 2^221102220 is an apocalyptic number.

221102220 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 221102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329204736).

221102220 is an abundant number, since it is smaller than the sum of its proper divisors (437307252).

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

221102220 is a wasteful number, since it uses less digits than its factorization.

221102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3111 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 221102220 is about 14869.5063805091. The cubic root of 221102220 is about 604.6875603696.

Adding to 221102220 its reverse (22201122), we get a palindrome (243303342).

The spelling of 221102220 in words is "two hundred twenty-one million, one hundred two thousand, two hundred twenty".