2133111100 has 72 divisors (see below), whose sum is σ = 4807379808. Its totient is φ = 820915200.

The previous prime is 2133111053. The next prime is 2133111119. The reversal of 2133111100 is 11113312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295737 + ... + 302863.

It is an arithmetic number, because the mean of its divisors is an integer number (66769164).

Almost surely, 2^2133111100 is an apocalyptic number.

2133111100 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 2133111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2403689904).

2133111100 is an abundant number, since it is smaller than the sum of its proper divisors (2674268708).

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

2133111100 is a wasteful number, since it uses less digits than its factorization.

2133111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7255 (or 7248 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 2133111100 is about 46185.6157261111. The cubic root of 2133111100 is about 1287.2744771043.

Adding to 2133111100 its reverse (11113312), we get a palindrome (2144224412).

The spelling of 2133111100 in words is "two billion, one hundred thirty-three million, one hundred eleven thousand, one hundred".