10181 has 2 divisors, whose sum is σ = 10182. Its totient is φ = 10180.

The previous prime is 10177. The next prime is 10193. The reversal of 10181 is 18101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9025 + 1156 = 95^2 + 34^2 .

It is a cyclic number.

It is not a de Polignac number, because 10181 - 2² = 10177 is a prime.

It is a super-2 number, since 2×10181² = 207305522, which contains 22 as substring.

It is a Chen prime.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10181.

It is not a weakly prime, because it can be changed into another prime (10111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5090 + 5091.

It is an arithmetic number, because the mean of its divisors is an integer number (5091).

2¹⁰¹⁸¹ is an apocalyptic number.

It is an amenable number.

10181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10181 is an equidigital number, since it uses as much as digits as its factorization.

10181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 10181 is about 100.9009415219. The cubic root of 10181 is about 21.6735546805.

Adding to 10181 its reverse (18101), we get a palindrome (28282).

It can be divided in two parts, 10 and 181, that added together give a palindrome (191).

The spelling of 10181 in words is "ten thousand, one hundred eighty-one".