101681 has 2 divisors, whose sum is σ = 101682. Its totient is φ = 101680.

The previous prime is 101663. The next prime is 101693. The reversal of 101681 is 186101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80656 + 21025 = 284^2 + 145^2 .

It is a cyclic number.

It is not a de Polignac number, because 101681 - 2¹⁴ = 85297 is a prime.

It is a super-2 number, since 2×101681² = 20678051522, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 101681.

It is not a weakly prime, because it can be changed into another prime (101611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50840 + 50841.

It is an arithmetic number, because the mean of its divisors is an integer number (50841).

2¹⁰¹⁶⁸¹ is an apocalyptic number.

It is an amenable number.

101681 is a deficient number, since it is larger than the sum of its proper divisors (1).

101681 is an equidigital number, since it uses as much as digits as its factorization.

101681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

The square root of 101681 is about 318.8745834964. The cubic root of 101681 is about 46.6745281540.

Adding to 101681 its reverse (186101), we get a palindrome (287782).

The spelling of 101681 in words is "one hundred one thousand, six hundred eighty-one".