65101 has 2 divisors, whose sum is σ = 65102. Its totient is φ = 65100.

The previous prime is 65099. The next prime is 65111. The reversal of 65101 is 10156.

65101 is nontrivially palindromic in base 6.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62500 + 2601 = 250^2 + 51^2 .

It is a cyclic number.

It is not a de Polignac number, because 65101 - 2¹ = 65099 is a prime.

Together with 65099, it forms a pair of twin primes.

It is a Chen prime.

65101 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (65111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32550 + 32551.

It is an arithmetic number, because the mean of its divisors is an integer number (32551).

2⁶⁵¹⁰¹ is an apocalyptic number.

It is an amenable number.

65101 is a deficient number, since it is larger than the sum of its proper divisors (1).

65101 is an equidigital number, since it uses as much as digits as its factorization.

65101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 65101 is about 255.1489760904. The cubic root of 65101 is about 40.2280721063.

Adding to 65101 its reverse (10156), we get a palindrome (75257).

Subtracting from 65101 its reverse (10156), we obtain a palindrome (54945).

The spelling of 65101 in words is "sixty-five thousand, one hundred one".