10101101068241 has 2 divisors, whose sum is σ = 10101101068242. Its totient is φ = 10101101068240.

The previous prime is 10101101068207. The next prime is 10101101068339. The reversal of 10101101068241 is 14286010110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6136004593216 + 3965096475025 = 2477096^2 + 1991255^2 .

It is an emirp because it is prime and its reverse (14286010110101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10101101068241 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10101101068241.

It is not a weakly prime, because it can be changed into another prime (10101101058241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050550534120 + 5050550534121.

It is an arithmetic number, because the mean of its divisors is an integer number (5050550534121).

Almost surely, 2^{10101101068241} is an apocalyptic number.

It is an amenable number.

10101101068241 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101101068241 is an equidigital number, since it uses as much as digits as its factorization.

10101101068241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 26.

Adding to 10101101068241 its reverse (14286010110101), we get a palindrome (24387111178342).

The spelling of 10101101068241 in words is "ten trillion, one hundred one billion, one hundred one million, sixty-eight thousand, two hundred forty-one".