221102120 has 32 divisors (see below), whose sum is σ = 498224520. Its totient is φ = 88308480.

The previous prime is 221102117. The next prime is 221102191. The reversal of 221102120 is 21201122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 192820996 + 28281124 = 13886^2 + 5318^2 .

It is a super-2 number, since 2×221102120² = 97772294936988800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25550 + ... + 33090.

Almost surely, 2^221102120 is an apocalyptic number.

221102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221102120 is an abundant number, since it is smaller than the sum of its proper divisors (277122400).

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

221102120 is a wasteful number, since it uses less digits than its factorization.

221102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8285 (or 8281 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 221102120 is about 14869.5030179223. The cubic root of 221102120 is about 604.6874692070.

Adding to 221102120 its reverse (21201122), we get a palindrome (242303242).

The spelling of 221102120 in words is "two hundred twenty-one million, one hundred two thousand, one hundred twenty".