1012000101017 has 2 divisors, whose sum is σ = 1012000101018. Its totient is φ = 1012000101016.

The previous prime is 1012000100989. The next prime is 1012000101109. The reversal of 1012000101017 is 7101010002101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 983169419401 + 28830681616 = 991549^2 + 169796^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012000101017 - 2⁶ = 1012000100953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1012000100992 and 1012000101010.

It is not a weakly prime, because it can be changed into another prime (1012000121017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506000050508 + 506000050509.

It is an arithmetic number, because the mean of its divisors is an integer number (506000050509).

Almost surely, 2^{1012000101017} is an apocalyptic number.

It is an amenable number.

1012000101017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012000101017 is an equidigital number, since it uses as much as digits as its factorization.

1012000101017 is an evil number, because the sum of its binary digits is even.

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

Adding to 1012000101017 its reverse (7101010002101), we get a palindrome (8113010103118).

The spelling of 1012000101017 in words is "one trillion, twelve billion, one hundred one thousand, seventeen".