12100122101017 has 2 divisors, whose sum is σ = 12100122101018. Its totient is φ = 12100122101016.

The previous prime is 12100122100993. The next prime is 12100122101021. The reversal of 12100122101017 is 71010122100121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8146292097241 + 3953830003776 = 2854171^2 + 1988424^2 .

It is an emirp because it is prime and its reverse (71010122100121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12100122101017 - 2³⁹ = 11550366287129 is a prime.

It is a super-3 number, since 3×12100122101017³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12100122100985 and 12100122101003.

It is not a weakly prime, because it can be changed into another prime (12100122101047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050061050508 + 6050061050509.

It is an arithmetic number, because the mean of its divisors is an integer number (6050061050509).

Almost surely, 2^{12100122101017} is an apocalyptic number.

It is an amenable number.

12100122101017 is a deficient number, since it is larger than the sum of its proper divisors (1).

12100122101017 is an equidigital number, since it uses as much as digits as its factorization.

12100122101017 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 19.

Adding to 12100122101017 its reverse (71010122100121), we get a palindrome (83110244201138).

The spelling of 12100122101017 in words is "twelve trillion, one hundred billion, one hundred twenty-two million, one hundred one thousand, seventeen".