10102165301 has 2 divisors, whose sum is σ = 10102165302. Its totient is φ = 10102165300.

The previous prime is 10102165291. The next prime is 10102165303. The reversal of 10102165301 is 10356120101.

10102165301 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., 9959840401 + 142324900 = 99799^2 + 11930^2 .

It is an emirp because it is prime and its reverse (10356120101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10102165301 - 2⁶ = 10102165237 is a prime.

It is a Sophie Germain prime.

Together with 10102165303, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10102165303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051082650 + 5051082651.

It is an arithmetic number, because the mean of its divisors is an integer number (5051082651).

Almost surely, 2^10102165301 is an apocalyptic number.

It is an amenable number.

10102165301 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102165301 is an equidigital number, since it uses as much as digits as its factorization.

10102165301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 10102165301 its reverse (10356120101), we get a palindrome (20458285402).

The spelling of 10102165301 in words is "ten billion, one hundred two million, one hundred sixty-five thousand, three hundred one".