221103120 has 160 divisors (see below), whose sum is σ = 804734208. Its totient is φ = 49158144.

The previous prime is 221103079. The next prime is 221103131. The reversal of 221103120 is 21301122.

221103120 = T₉₁ + T₉₂ + ... + T₁₀₉₈.

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 = 221103096 and 221103105.

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 31 ways as a sum of consecutive naturals, for example, 60382 + ... + 63938.

Almost surely, 2^221103120 is an apocalyptic number.

221103120 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 221103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402367104).

221103120 is an abundant number, since it is smaller than the sum of its proper divisors (583631088).

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

221103120 is a wasteful number, since it uses less digits than its factorization.

221103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3617 (or 3611 counting only the distinct ones).

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

The square root of 221103120 is about 14869.5366437559. The cubic root of 221103120 is about 604.6883808319.

Adding to 221103120 its reverse (21301122), we get a palindrome (242404242).

The spelling of 221103120 in words is "two hundred twenty-one million, one hundred three thousand, one hundred twenty".