12001020002117 has 2 divisors, whose sum is σ = 12001020002118. Its totient is φ = 12001020002116.

The previous prime is 12001020002107. The next prime is 12001020002263. The reversal of 12001020002117 is 71120002010021.

12001020002117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11315412817921 + 685607184196 = 3363839^2 + 828014^2 .

It is a cyclic number.

It is not a de Polignac number, because 12001020002117 - 2³⁰ = 11999946260293 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12001020002095 and 12001020002104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12001020002107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6000510001058 + 6000510001059.

It is an arithmetic number, because the mean of its divisors is an integer number (6000510001059).

Almost surely, 2^{12001020002117} is an apocalyptic number.

It is an amenable number.

12001020002117 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001020002117 is an equidigital number, since it uses as much as digits as its factorization.

12001020002117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 12001020002117 its reverse (71120002010021), we get a palindrome (83121022012138).

The spelling of 12001020002117 in words is "twelve trillion, one billion, twenty million, two thousand, one hundred seventeen".