12102211100000 has 432 divisors, whose sum is σ = 35033573645280. Its totient is φ = 4102560000000.

The previous prime is 12102211099999. The next prime is 12102211100051. The reversal of 12102211100000 is 111220121.

12102211100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 436086125 + ... + 436113875.

It is an arithmetic number, because the mean of its divisors is an integer number (81096235290).

Almost surely, 2^{12102211100000} is an apocalyptic number.

12102211100000 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 12102211100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17516786822640).

12102211100000 is an abundant number, since it is smaller than the sum of its proper divisors (22931362545280).

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

12102211100000 is an frugal number, since it uses more digits than its factorization.

12102211100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27889 (or 27854 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12102211100000 its reverse (111220121), we get a palindrome (12102322320121).

The spelling of 12102211100000 in words is "twelve trillion, one hundred two billion, two hundred eleven million, one hundred thousand".