10002001121017 has 2 divisors, whose sum is σ = 10002001121018. Its totient is φ = 10002001121016.

The previous prime is 10002001120997. The next prime is 10002001121059. The reversal of 10002001121017 is 71012110020001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6783920323216 + 3218080797801 = 2604596^2 + 1793901^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002001121017 - 2¹¹ = 10002001118969 is a prime.

It is a super-2 number, since 2×10002001121017² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10002001121617) 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, 5001000560508 + 5001000560509.

It is an arithmetic number, because the mean of its divisors is an integer number (5001000560509).

Almost surely, 2^{10002001121017} is an apocalyptic number.

It is an amenable number.

10002001121017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002001121017 is an equidigital number, since it uses as much as digits as its factorization.

10002001121017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 16.

Adding to 10002001121017 its reverse (71012110020001), we get a palindrome (81014111141018).

The spelling of 10002001121017 in words is "ten trillion, two billion, one million, one hundred twenty-one thousand, seventeen".