221102112 has 144 divisors (see below), whose sum is σ = 736700832. Its totient is φ = 57415680.

The previous prime is 221102099. The next prime is 221102113. The reversal of 221102112 is 211201122.

It is a super-2 number, since 2×221102112² = 97772287861721088, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (221102113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49608 + ... + 53880.

It is an arithmetic number, because the mean of its divisors is an integer number (5115978).

Almost surely, 2^221102112 is an apocalyptic number.

221102112 is a gapful number since it is divisible by the number (22) 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 221102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368350416).

221102112 is an abundant number, since it is smaller than the sum of its proper divisors (515598720).

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

221102112 is a wasteful number, since it uses less digits than its factorization.

221102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4311 (or 4296 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 221102112 is about 14869.5027489153. The cubic root of 221102112 is about 604.6874619140.

Adding to 221102112 its reverse (211201122), we get a palindrome (432303234).

The spelling of 221102112 in words is "two hundred twenty-one million, one hundred two thousand, one hundred twelve".