10029886419017 has 2 divisors, whose sum is σ = 10029886419018. Its totient is φ = 10029886419016.

The previous prime is 10029886419001. The next prime is 10029886419109. The reversal of 10029886419017 is 71091468892001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5528428290121 + 4501458128896 = 2351261^2 + 2121664^2 .

It is a cyclic number.

It is not a de Polignac number, because 10029886419017 - 2⁴ = 10029886419001 is a prime.

It is not a weakly prime, because it can be changed into another prime (10029886419517) 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, 5014943209508 + 5014943209509.

It is an arithmetic number, because the mean of its divisors is an integer number (5014943209509).

Almost surely, 2^{10029886419017} is an apocalyptic number.

It is an amenable number.

10029886419017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10029886419017 is an equidigital number, since it uses as much as digits as its factorization.

10029886419017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1741824, while the sum is 56.

The spelling of 10029886419017 in words is "ten trillion, twenty-nine billion, eight hundred eighty-six million, four hundred nineteen thousand, seventeen".