2201112100 has 72 divisors (see below), whose sum is σ = 5218603488. Its totient is φ = 799180800.

The previous prime is 2201112097. The next prime is 2201112139. The reversal of 2201112100 is 12111022.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1040644 + ... + 1042756.

It is an arithmetic number, because the mean of its divisors is an integer number (72480604).

Almost surely, 2^2201112100 is an apocalyptic number.

2201112100 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 2201112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609301744).

2201112100 is an abundant number, since it is smaller than the sum of its proper divisors (3017491388).

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

2201112100 is a wasteful number, since it uses less digits than its factorization.

2201112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3085 (or 3078 counting only the distinct ones).

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

The square root of 2201112100 is about 46916.0111262669. The cubic root of 2201112100 is about 1300.8105595938.

Adding to 2201112100 its reverse (12111022), we get a palindrome (2213223122).

The spelling of 2201112100 in words is "two billion, two hundred one million, one hundred twelve thousand, one hundred".