2201102100 has 180 divisors, whose sum is σ = 7162909600. Its totient is φ = 584677440.

The previous prime is 2201102089. The next prime is 2201102107. The reversal of 2201102100 is 12011022.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201102107) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3555591 + ... + 3556209.

Almost surely, 2^2201102100 is an apocalyptic number.

2201102100 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 2201102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3581454800).

2201102100 is an abundant number, since it is smaller than the sum of its proper divisors (4961807500).

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

2201102100 is a wasteful number, since it uses less digits than its factorization.

2201102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2201102100 is about 46915.9045527207. The cubic root of 2201102100 is about 1300.8085896616.

Adding to 2201102100 its reverse (12011022), we get a palindrome (2213113122).

The spelling of 2201102100 in words is "two billion, two hundred one million, one hundred two thousand, one hundred".