110121120012017 has 2 divisors, whose sum is σ = 110121120012018. Its totient is φ = 110121120012016.

The previous prime is 110121120011971. The next prime is 110121120012061. The reversal of 110121120012017 is 710210021121011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109654741651456 + 466378360561 = 10471616^2 + 682919^2 .

It is a cyclic number.

It is not a de Polignac number, because 110121120012017 - 2⁶ = 110121120011953 is a prime.

It is a super-2 number, since 2×110121120012017² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 110121120012017.

It is not a weakly prime, because it can be changed into another prime (110121120312017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55060560006008 + 55060560006009.

It is an arithmetic number, because the mean of its divisors is an integer number (55060560006009).

Almost surely, 2^{110121120012017} is an apocalyptic number.

It is an amenable number.

110121120012017 is a deficient number, since it is larger than the sum of its proper divisors (1).

110121120012017 is an equidigital number, since it uses as much as digits as its factorization.

110121120012017 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 20.

Adding to 110121120012017 its reverse (710210021121011), we get a palindrome (820331141133028).

The spelling of 110121120012017 in words is "one hundred ten trillion, one hundred twenty-one billion, one hundred twenty million, twelve thousand, seventeen".