12101311310121 has 12 divisors (see below), whose sum is σ = 19068732973680. Its totient is φ = 7334128066680.

The previous prime is 12101311310087. The next prime is 12101311310171.

12101311310121 is a `hidden beast` number, since 1 + 21 + 0 + 1 + 311 + 310 + 1 + 21 = 666.

12101311310121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12101311310121 - 2¹⁰ = 12101311309097 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12101311310094 and 12101311310103.

It is not an unprimeable number, because it can be changed into a prime (12101311310171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61117733791 + ... + 61117733988.

It is an arithmetic number, because the mean of its divisors is an integer number (1589061081140).

Almost surely, 2^{12101311310121} is an apocalyptic number.

12101311310121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12101311310121 is a deficient number, since it is larger than the sum of its proper divisors (6967421663559).

12101311310121 is a wasteful number, since it uses less digits than its factorization.

12101311310121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122235467796 (or 122235467793 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

It can be divided in two parts, 1210131 and 1310121, that added together give a palindrome (2520252).

The spelling of 12101311310121 in words is "twelve trillion, one hundred one billion, three hundred eleven million, three hundred ten thousand, one hundred twenty-one".