1021112012017 has 2 divisors, whose sum is σ = 1021112012018. Its totient is φ = 1021112012016.

The previous prime is 1021112012009. The next prime is 1021112012047. The reversal of 1021112012017 is 7102102111201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1019193221601 + 1918790416 = 1009551^2 + 43804^2 .

It is an emirp because it is prime and its reverse (7102102111201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1021112012017 - 2³ = 1021112012009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1021112011985 and 1021112012003.

It is not a weakly prime, because it can be changed into another prime (1021112012047) 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, 510556006008 + 510556006009.

It is an arithmetic number, because the mean of its divisors is an integer number (510556006009).

Almost surely, 2^{1021112012017} is an apocalyptic number.

It is an amenable number.

1021112012017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021112012017 is an equidigital number, since it uses as much as digits as its factorization.

1021112012017 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 1021112012017 its reverse (7102102111201), we get a palindrome (8123214123218).

The spelling of 1021112012017 in words is "one trillion, twenty-one billion, one hundred twelve million, twelve thousand, seventeen".