2133101120 has 112 divisors (see below), whose sum is σ = 5415686400. Its totient is φ = 797921280.

The previous prime is 2133101111. The next prime is 2133101141. The reversal of 2133101120 is 211013312.

It is a junction number, because it is equal to n+sod(n) for n = 2133101095 and 2133101104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478100 + ... + 482540.

Almost surely, 2^2133101120 is an apocalyptic number.

2133101120 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 2133101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707843200).

2133101120 is an abundant number, since it is smaller than the sum of its proper divisors (3282585280).

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

2133101120 is a wasteful number, since it uses less digits than its factorization.

2133101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4556 (or 4546 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 2133101120 is about 46185.5076836880. The cubic root of 2133101120 is about 1287.2724695484.

Adding to 2133101120 its reverse (211013312), we get a palindrome (2344114432).

The spelling of 2133101120 in words is "two billion, one hundred thirty-three million, one hundred one thousand, one hundred twenty".