12102133002300 has 432 divisors, whose sum is σ = 41505959948544. Its totient is φ = 2925075840000.

The previous prime is 12102133002187. The next prime is 12102133002313. The reversal of 12102133002300 is 320033120121.

12102133002300 is a `hidden beast` number, since 1 + 2 + 10 + 21 + 330 + 0 + 2 + 300 = 666.

12102133002300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6682568395 + ... + 6682570205.

It is an arithmetic number, because the mean of its divisors is an integer number (96078610992).

Almost surely, 2^{12102133002300} is an apocalyptic number.

12102133002300 is a gapful number since it is divisible by the number (10) 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 12102133002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20752979974272).

12102133002300 is an abundant number, since it is smaller than the sum of its proper divisors (29403826946244).

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

12102133002300 is a wasteful number, since it uses less digits than its factorization.

12102133002300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3490 (or 3480 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12102133002300 its reverse (320033120121), we get a palindrome (12422166122421).

The spelling of 12102133002300 in words is "twelve trillion, one hundred two billion, one hundred thirty-three million, two thousand, three hundred".