101081 has 2 divisors, whose sum is σ = 101082. Its totient is φ = 101080.

The previous prime is 101063. The next prime is 101089. The reversal of 101081 is 180101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99856 + 1225 = 316^2 + 35^2 .

It is a cyclic number.

It is not a de Polignac number, because 101081 - 2¹⁰ = 100057 is a prime.

It is a super-2 number, since 2×101081² = 20434737122, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101089) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50540 + 50541.

It is an arithmetic number, because the mean of its divisors is an integer number (50541).

2¹⁰¹⁰⁸¹ is an apocalyptic number.

It is an amenable number.

101081 is a deficient number, since it is larger than the sum of its proper divisors (1).

101081 is an equidigital number, since it uses as much as digits as its factorization.

101081 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 11.

The square root of 101081 is about 317.9323827483. The cubic root of 101081 is about 46.5825411828.

Adding to 101081 its reverse (180101), we get a palindrome (281182).

It can be divided in two parts, 1010 and 81, that multiplied together give a triangular number (81810 = T₄₀₄).

The spelling of 101081 in words is "one hundred one thousand, eighty-one".