12102111102120 has 256 divisors, whose sum is σ = 41444603182080. Its totient is φ = 2800663756800.

The previous prime is 12102111102079. The next prime is 12102111102203. The reversal of 12102111102120 is 2120111120121.

It is a happy number.

It is a super-2 number, since 2×12102111102120² (a number of 27 digits) contains 22 as substring.

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 12102111102120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23909260 + ... + 24410180.

It is an arithmetic number, because the mean of its divisors is an integer number (161892981180).

Almost surely, 2^{12102111102120} is an apocalyptic number.

12102111102120 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 12102111102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20722301591040).

12102111102120 is an abundant number, since it is smaller than the sum of its proper divisors (29342492079960).

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

12102111102120 is a wasteful number, since it uses less digits than its factorization.

12102111102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501876 (or 501872 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12102111102120 its reverse (2120111120121), we get a palindrome (14222222222241).

The spelling of 12102111102120 in words is "twelve trillion, one hundred two billion, one hundred eleven million, one hundred two thousand, one hundred twenty".