1020103312097 has 2 divisors, whose sum is σ = 1020103312098. Its totient is φ = 1020103312096.

The previous prime is 1020103312079. The next prime is 1020103312169. The reversal of 1020103312097 is 7902133010201.

Together with previous prime (1020103312079) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 730313813056 + 289789499041 = 854584^2 + 538321^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020103312097 - 2⁸ = 1020103311841 is a prime.

It is a super-2 number, since 2×1020103312097² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1020103312297) 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, 510051656048 + 510051656049.

It is an arithmetic number, because the mean of its divisors is an integer number (510051656049).

Almost surely, 2^{1020103312097} is an apocalyptic number.

It is an amenable number.

1020103312097 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020103312097 is an equidigital number, since it uses as much as digits as its factorization.

1020103312097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 29.

Adding to 1020103312097 its reverse (7902133010201), we get a palindrome (8922236322298).

The spelling of 1020103312097 in words is "one trillion, twenty billion, one hundred three million, three hundred twelve thousand, ninety-seven".