12102311320121 has 64 divisors (see below), whose sum is σ = 13862232179712. Its totient is φ = 10469606400000.

The previous prime is 12102311320093. The next prime is 12102311320157.

12102311320121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12102311320121 - 2³⁴ = 12085131450937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12102311320093 and 12102311320102.

It is not an unprimeable number, because it can be changed into a prime (12102311320921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1222327271 + ... + 1222337171.

It is an arithmetic number, because the mean of its divisors is an integer number (216597377808).

Almost surely, 2^{12102311320121} is an apocalyptic number.

12102311320121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12102311320121 is a deficient number, since it is larger than the sum of its proper divisors (1759920859591).

12102311320121 is a wasteful number, since it uses less digits than its factorization.

12102311320121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10434.

The product of its (nonzero) digits is 144, while the sum is 20.

It can be divided in two parts, 1210231 and 1320121, that added together give a palindrome (2530352).

The spelling of 12102311320121 in words is "twelve trillion, one hundred two billion, three hundred eleven million, three hundred twenty thousand, one hundred twenty-one".