9101 has 4 divisors (see below), whose sum is σ = 9600. Its totient is φ = 8604.

The previous prime is 9091. The next prime is 9103. The reversal of 9101 is 1019.

9101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-9101 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9103) 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, 221 + ... + 258.

It is an arithmetic number, because the mean of its divisors is an integer number (2400).

It is an amenable number.

9101 is a deficient number, since it is larger than the sum of its proper divisors (499).

9101 is a wasteful number, since it uses less digits than its factorization.

9101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498.

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 9101 is about 95.3991614219. The cubic root of 9101 is about 20.8783595057.

It can be divided in two parts, 9 and 101, that multiplied together give a palindrome (909).

The spelling of 9101 in words is "nine thousand, one hundred one".