8101 has 2 divisors, whose sum is σ = 8102. Its totient is φ = 8100.

The previous prime is 8093. The next prime is 8111. The reversal of 8101 is 1018.

It is a Cunningham number, because it is equal to 90²+1.

8101 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It is an a-pointer prime, because the next prime (8111) can be obtained adding 8101 to its sum of digits (10).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8100 + 1 = 90^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 8101 - 2³ = 8093 is a prime.

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4050 + 4051.

It is an arithmetic number, because the mean of its divisors is an integer number (4051).

2⁸¹⁰¹ is an apocalyptic number.

It is an amenable number.

8101 is a deficient number, since it is larger than the sum of its proper divisors (1).

8101 is an equidigital number, since it uses as much as digits as its factorization.

8101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 8101 is about 90.0055553841. The cubic root of 8101 is about 20.0838149289.

Adding to 8101 its reverse (1018), we get a palindrome (9119).

It can be divided in two parts, 8 and 101, that multiplied together give a palindrome (808).

The spelling of 8101 in words is "eight thousand, one hundred one".