101321 has 8 divisors (see below), whose sum is σ = 113088. Its totient is φ = 90000.

The previous prime is 101293. The next prime is 101323. The reversal of 101321 is 123101.

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 101321 - 2¹⁰ = 100297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101299 and 101308.

It is not an unprimeable number, because it can be changed into a prime (101323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 596 + ... + 746.

It is an arithmetic number, because the mean of its divisors is an integer number (14136).

2¹⁰¹³²¹ is an apocalyptic number.

101321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101321 is a deficient number, since it is larger than the sum of its proper divisors (11767).

101321 is a wasteful number, since it uses less digits than its factorization.

101321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 101321 is about 318.3095977190. The cubic root of 101321 is about 46.6193795380.

Adding to 101321 its reverse (123101), we get a palindrome (224422).

It can be divided in two parts, 10 and 1321, that added together give a palindrome (1331).

The spelling of 101321 in words is "one hundred one thousand, three hundred twenty-one", and thus it is an iban number.