101161 has 2 divisors, whose sum is σ = 101162. Its totient is φ = 101160.

The previous prime is 101159. The next prime is 101173. The reversal of 101161 is 161101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99225 + 1936 = 315^2 + 44^2 .

It is a cyclic number.

It is not a de Polignac number, because 101161 - 2¹ = 101159 is a prime.

Together with 101159, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50580 + 50581.

It is an arithmetic number, because the mean of its divisors is an integer number (50581).

2¹⁰¹¹⁶¹ is an apocalyptic number.

It is an amenable number.

101161 is a deficient number, since it is larger than the sum of its proper divisors (1).

101161 is an equidigital number, since it uses as much as digits as its factorization.

101161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 101161 is about 318.0581707801. The cubic root of 101161 is about 46.5948271073.

Adding to 101161 its reverse (161101), we get a palindrome (262262).

It can be divided in two parts, 101 and 161, that multiplied together give a palindrome (16261).

The spelling of 101161 in words is "one hundred one thousand, one hundred sixty-one".