2133010100 has 72 divisors (see below), whose sum is σ = 5030745720. Its totient is φ = 780295680.

The previous prime is 2133010063. The next prime is 2133010109. The reversal of 2133010100 is 10103312.

It can be written as a sum of positive squares in 12 ways, for example, as 240064036 + 1892946064 = 15494^2 + 43508^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133010109) by changing a digit.

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, 134174 + ... + 149226.

Almost surely, 2^2133010100 is an apocalyptic number.

2133010100 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 2133010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515372860).

2133010100 is an abundant number, since it is smaller than the sum of its proper divisors (2897735620).

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

2133010100 is a wasteful number, since it uses less digits than its factorization.

2133010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15189 (or 15182 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 2133010100 is about 46184.5222991426. The cubic root of 2133010100 is about 1287.2541598669.

Adding to 2133010100 its reverse (10103312), we get a palindrome (2143113412).

The spelling of 2133010100 in words is "two billion, one hundred thirty-three million, ten thousand, one hundred".