10001122121017 has 2 divisors, whose sum is σ = 10001122121018. Its totient is φ = 10001122121016.

The previous prime is 10001122120991. The next prime is 10001122121021. The reversal of 10001122121017 is 71012122110001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6554321939881 + 3446800181136 = 2560141^2 + 1856556^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001122121017 - 2⁷ = 10001122120889 is a prime.

It is a super-2 number, since 2×10001122121017² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10001122120985 and 10001122121003.

It is not a weakly prime, because it can be changed into another prime (10001122124017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000561060508 + 5000561060509.

It is an arithmetic number, because the mean of its divisors is an integer number (5000561060509).

Almost surely, 2^{10001122121017} is an apocalyptic number.

It is an amenable number.

10001122121017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001122121017 is an equidigital number, since it uses as much as digits as its factorization.

10001122121017 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 19.

Adding to 10001122121017 its reverse (71012122110001), we get a palindrome (81013244231018).

The spelling of 10001122121017 in words is "ten trillion, one billion, one hundred twenty-two million, one hundred twenty-one thousand, seventeen".