2201109120 has 512 divisors, whose sum is σ = 9212313600. Its totient is φ = 486051840.

The previous prime is 2201109101. The next prime is 2201109161. The reversal of 2201109120 is 219011022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2201109093 and 2201109102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3749467 + ... + 3750053.

It is an arithmetic number, because the mean of its divisors is an integer number (17992800).

Almost surely, 2^2201109120 is an apocalyptic number.

2201109120 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 2201109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4606156800).

2201109120 is an abundant number, since it is smaller than the sum of its proper divisors (7011204480).

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

2201109120 is a wasteful number, since it uses less digits than its factorization.

2201109120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 2201109120 is about 46915.9793673755. The cubic root of 2201109120 is about 1300.8099725546.

The spelling of 2201109120 in words is "two billion, two hundred one million, one hundred nine thousand, one hundred twenty".