101641 has 2 divisors, whose sum is σ = 101642. Its totient is φ = 101640.

The previous prime is 101627. The next prime is 101653. The reversal of 101641 is 146101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60025 + 41616 = 245^2 + 204^2 .

It is a cyclic number.

It is not a de Polignac number, because 101641 - 2⁷ = 101513 is a prime.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50820 + 50821.

It is an arithmetic number, because the mean of its divisors is an integer number (50821).

2¹⁰¹⁶⁴¹ is an apocalyptic number.

It is an amenable number.

101641 is a deficient number, since it is larger than the sum of its proper divisors (1).

101641 is an equidigital number, since it uses as much as digits as its factorization.

101641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 101641 is about 318.8118567431. The cubic root of 101641 is about 46.6684069646.

Adding to 101641 its reverse (146101), we get a palindrome (247742).

The spelling of 101641 in words is "one hundred one thousand, six hundred forty-one".