101001 has 8 divisors (see below), whose sum is σ = 136224. Its totient is φ = 66560.

The previous prime is 100999. The next prime is 101009. The reversal of 101001 is 100101.

101001 is nontrivially palindromic in base 4.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101001 - 2¹ = 100999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101009) 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 in 7 ways as a sum of consecutive naturals, for example, 265 + ... + 521.

It is an arithmetic number, because the mean of its divisors is an integer number (17028).

2¹⁰¹⁰⁰¹ is an apocalyptic number.

It is an amenable number.

101001 is a deficient number, since it is larger than the sum of its proper divisors (35223).

101001 is a wasteful number, since it uses less digits than its factorization.

101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391.

The product of its (nonzero) digits is 1, while the sum is 3.

The square root of 101001 is about 317.8065449295. The cubic root of 101001 is about 46.5702487742.

Adding to 101001 its reverse (100101), we get a palindrome (201102).

Subtracting from 101001 its reverse (100101), we obtain a square (900 = 30²).

Multiplying 101001 by its reverse (100101), we get a palindrome (10110301101).

It can be divided in two parts, 10100 and 1, that added together give a palindrome (10101).

The spelling of 101001 in words is "one hundred one thousand, one", and thus it is an iban number.