2102133300 has 144 divisors (see below), whose sum is σ = 6720319872. Its totient is φ = 504627200.

The previous prime is 2102133259. The next prime is 2102133311. The reversal of 2102133300 is 33312012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2102133300.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 108340 + ... + 126260.

It is an arithmetic number, because the mean of its divisors is an integer number (46668888).

Almost surely, 2^2102133300 is an apocalyptic number.

2102133300 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 2102133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360159936).

2102133300 is an abundant number, since it is smaller than the sum of its proper divisors (4618186572).

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

2102133300 is a wasteful number, since it uses less digits than its factorization.

2102133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17978 (or 17971 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2102133300 is about 45849.0272524947. The cubic root of 2102133300 is about 1281.0126467327.

Adding to 2102133300 its reverse (33312012), we get a palindrome (2135445312).

The spelling of 2102133300 in words is "two billion, one hundred two million, one hundred thirty-three thousand, three hundred".