12121111020017 has 2 divisors, whose sum is σ = 12121111020018. Its totient is φ = 12121111020016.

The previous prime is 12121111019981. The next prime is 12121111020037. The reversal of 12121111020017 is 71002011112121.

It is a happy number.

It is an a-pointer prime, because the next prime (12121111020037) can be obtained adding 12121111020017 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9999104082496 + 2122006937521 = 3162136^2 + 1456711^2 .

It is a cyclic number.

It is not a de Polignac number, because 12121111020017 - 2³² = 12116816052721 is a prime.

It is not a weakly prime, because it can be changed into another prime (12121111020037) by changing a digit.

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 as a sum of consecutive naturals, namely, 6060555510008 + 6060555510009.

It is an arithmetic number, because the mean of its divisors is an integer number (6060555510009).

Almost surely, 2^{12121111020017} is an apocalyptic number.

It is an amenable number.

12121111020017 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121111020017 is an equidigital number, since it uses as much as digits as its factorization.

12121111020017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 20.

Adding to 12121111020017 its reverse (71002011112121), we get a palindrome (83123122132138).

The spelling of 12121111020017 in words is "twelve trillion, one hundred twenty-one billion, one hundred eleven million, twenty thousand, seventeen".