1000121001017 has 2 divisors, whose sum is σ = 1000121001018. Its totient is φ = 1000121001016.

The previous prime is 1000121000941. The next prime is 1000121001127. The reversal of 1000121001017 is 7101001210001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 643017949456 + 357103051561 = 801884^2 + 597581^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000121001017 - 2¹⁶ = 1000120935481 is a prime.

It is a super-2 number, since 2×1000121001017² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1000121000992 and 1000121001010.

It is not a weakly prime, because it can be changed into another prime (1000121001917) 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, 500060500508 + 500060500509.

It is an arithmetic number, because the mean of its divisors is an integer number (500060500509).

Almost surely, 2^{1000121001017} is an apocalyptic number.

It is an amenable number.

1000121001017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000121001017 is an equidigital number, since it uses as much as digits as its factorization.

1000121001017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 14.

Adding to 1000121001017 its reverse (7101001210001), we get a palindrome (8101122211018).

The spelling of 1000121001017 in words is "one trillion, one hundred twenty-one million, one thousand, seventeen".