7101 has 8 divisors (see below), whose sum is σ = 10560. Its totient is φ = 4716.

The previous prime is 7079. The next prime is 7103. The reversal of 7101 is 1017.

It is not a de Polignac number, because 7101 - 2^{5} = 7069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

7101 is a lucky 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 (7103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105 + ... + 158.

It is an arithmetic number, because the mean of its divisors is an integer number (1320).

It is an amenable number.

7101 is a deficient number, since it is larger than the sum of its proper divisors (3459).

7101 is a wasteful number, since it uses less digits than its factorization.

7101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 9.

The square root of 7101 is about 84.2674314311. The cubic root of 7101 is about 19.2208757316.

Adding to 7101 its reverse (1017), we get a palindrome (8118).

Subtracting from 7101 its reverse (1017), we obtain a square (6084 = 78^{2}).

It can be divided in two parts, 7 and 101, that multiplied together give a palindrome (707).

The spelling of 7101 in words is "seven thousand, one hundred one", and thus it is an iban number.

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