82101 has 4 divisors (see below), whose sum is σ = 109472. Its totient is φ = 54732.

The previous prime is 82073. The next prime is 82129. The reversal of 82101 is 10128.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (82073) and next prime (82129).

It is not a de Polignac number, because 82101 - 2⁶ = 82037 is a prime.

It is a D-number.

It is a Duffinian number.

82101 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13681 + ... + 13686.

It is an arithmetic number, because the mean of its divisors is an integer number (27368).

2⁸²¹⁰¹ is an apocalyptic number.

It is an amenable number.

82101 is a deficient number, since it is larger than the sum of its proper divisors (27371).

82101 is a wasteful number, since it uses less digits than its factorization.

82101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27370.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 82101 is about 286.5327206446. The cubic root of 82101 is about 43.4626446381.

Adding to 82101 its reverse (10128), we get a palindrome (92229).

The spelling of 82101 in words is "eighty-two thousand, one hundred one".