101441 has 6 divisors (see below), whose sum is σ = 107442. Its totient is φ = 95760.

The previous prime is 101429. The next prime is 101449. The reversal of 101441 is 144101.

It can be written as a sum of positive squares in only one way, i.e., 92416 + 9025 = 304^2 + 95^2 .

It is not a de Polignac number, because 101441 - 2⁶ = 101377 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101449) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 221 + ... + 501.

It is an arithmetic number, because the mean of its divisors is an integer number (17907).

2¹⁰¹⁴⁴¹ is an apocalyptic number.

It is an amenable number.

101441 is a deficient number, since it is larger than the sum of its proper divisors (6001).

101441 is an equidigital number, since it uses as much as digits as its factorization.

101441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 101441 is about 318.4980376706. The cubic root of 101441 is about 46.6377769036.

Adding to 101441 its reverse (144101), we get a palindrome (245542).

The spelling of 101441 in words is "one hundred one thousand, four hundred forty-one", and thus it is an iban number.