121142004102017 has 2 divisors, whose sum is σ = 121142004102018. Its totient is φ = 121142004102016.

The previous prime is 121142004101983. The next prime is 121142004102071. The reversal of 121142004102017 is 710201400241121.

Together with next prime (121142004102071) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100481197488961 + 20660806613056 = 10024031^2 + 4545416^2 .

It is a cyclic number.

It is not a de Polignac number, because 121142004102017 - 2¹⁴ = 121142004085633 is a prime.

It is a super-3 number, since 3×121142004102017³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (121142804102017) 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 as a sum of consecutive naturals, namely, 60571002051008 + 60571002051009.

It is an arithmetic number, because the mean of its divisors is an integer number (60571002051009).

Almost surely, 2^{121142004102017} is an apocalyptic number.

It is an amenable number.

121142004102017 is a deficient number, since it is larger than the sum of its proper divisors (1).

121142004102017 is an equidigital number, since it uses as much as digits as its factorization.

121142004102017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 896, while the sum is 26.

Adding to 121142004102017 its reverse (710201400241121), we get a palindrome (831343404343138).

The spelling of 121142004102017 in words is "one hundred twenty-one trillion, one hundred forty-two billion, four million, one hundred two thousand, seventeen".