67105616320201 has 2 divisors, whose sum is σ = 67105616320202. Its totient is φ = 67105616320200.

The previous prime is 67105616320157. The next prime is 67105616320207. The reversal of 67105616320201 is 10202361650176.

67105616320201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35848348047801 + 31257268272400 = 5987349^2 + 5590820^2 .

It is a cyclic number.

It is not a de Polignac number, because 67105616320201 - 2¹⁹ = 67105615795913 is a prime.

It is not a weakly prime, because it can be changed into another prime (67105616320207) 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, 33552808160100 + 33552808160101.

It is an arithmetic number, because the mean of its divisors is an integer number (33552808160101).

Almost surely, 2^{67105616320201} is an apocalyptic number.

It is an amenable number.

67105616320201 is a deficient number, since it is larger than the sum of its proper divisors (1).

67105616320201 is an equidigital number, since it uses as much as digits as its factorization.

67105616320201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 40.

Adding to 67105616320201 its reverse (10202361650176), we get a palindrome (77307977970377).

The spelling of 67105616320201 in words is "sixty-seven trillion, one hundred five billion, six hundred sixteen million, three hundred twenty thousand, two hundred one".