12102102120 has 64 divisors (see below), whose sum is σ = 38441977920. Its totient is φ = 3037389824.

The previous prime is 12102102101. The next prime is 12102102157. The reversal of 12102102120 is 2120120121.

12102102120 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 12102102096 and 12102102105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2964162 + ... + 2968241.

It is an arithmetic number, because the mean of its divisors is an integer number (600655905).

Almost surely, 2^12102102120 is an apocalyptic number.

12102102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102102120 is an abundant number, since it is smaller than the sum of its proper divisors (26339875800).

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

12102102120 is a wasteful number, since it uses less digits than its factorization.

12102102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5932434 (or 5932430 counting only the distinct ones).

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

Adding to 12102102120 its reverse (2120120121), we get a palindrome (14222222241).

The spelling of 12102102120 in words is "twelve billion, one hundred two million, one hundred two thousand, one hundred twenty".