2201101120 has 56 divisors (see below), whose sum is σ = 5256657000. Its totient is φ = 877873152.

The previous prime is 2201101099. The next prime is 2201101139. The reversal of 2201101120 is 211011022.

It can be written as a sum of positive squares in 4 ways, for example, as 414855424 + 1786245696 = 20368^2 + 42264^2 .

It is a super-2 number, since 2×2201101120² = 9689692280930508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2201101097 and 2201101106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101826 + ... + 121534.

It is an arithmetic number, because the mean of its divisors is an integer number (93868875).

Almost surely, 2^2201101120 is an apocalyptic number.

2201101120 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 2201101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628328500).

2201101120 is an abundant number, since it is smaller than the sum of its proper divisors (3055555880).

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

2201101120 is a wasteful number, since it uses less digits than its factorization.

2201101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20075 (or 20065 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2201101120 is about 46915.8941085002. The cubic root of 2201101120 is about 1300.8083966079.

Adding to 2201101120 its reverse (211011022), we get a palindrome (2412112142).

The spelling of 2201101120 in words is "two billion, two hundred one million, one hundred one thousand, one hundred twenty".