2201110100 has 144 divisors (see below), whose sum is σ = 5786296320. Its totient is φ = 709948800.

The previous prime is 2201110091. The next prime is 2201110111. The reversal of 2201110100 is 10111022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2220605 + ... + 2221595.

Almost surely, 2^2201110100 is an apocalyptic number.

2201110100 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 2201110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2893148160).

2201110100 is an abundant number, since it is smaller than the sum of its proper divisors (3585186220).

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

2201110100 is a wasteful number, since it uses less digits than its factorization.

2201110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 2201110100 is about 46915.9898115770. The cubic root of 2201110100 is about 1300.8101656079.

Adding to 2201110100 its reverse (10111022), we get a palindrome (2211221122).

The spelling of 2201110100 in words is "two billion, two hundred one million, one hundred ten thousand, one hundred".