12102120210000 has 800 divisors, whose sum is σ = 41655176576640. Its totient is φ = 3020903424000.

The previous prime is 12102120209987. The next prime is 12102120210119. The reversal of 12102120210000 is 1202120121.

12102120210000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12102120210000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12779429527 + ... + 12779430473.

Almost surely, 2^{12102120210000} is an apocalyptic number.

12102120210000 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 12102120210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20827588288320).

12102120210000 is an abundant number, since it is smaller than the sum of its proper divisors (29553056366640).

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

12102120210000 is a wasteful number, since it uses less digits than its factorization.

12102120210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12102120210000 its reverse (1202120121), we get a palindrome (12103322330121).

The spelling of 12102120210000 in words is "twelve trillion, one hundred two billion, one hundred twenty million, two hundred ten thousand".