10011 has 8 divisors (see below), whose sum is σ = 13824. Its totient is φ = 6440.

The previous prime is 10009. The next prime is 10037. The reversal of 10011 is 11001.

10011 is a nontrivial binomial coefficient, being equal to C(142, 2).

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 10011 - 2¹ = 10009 is a prime.

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

10011 is a modest number, since divided by 11 gives 1 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 9978 and 10005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10061) 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, 106 + ... + 176.

It is an arithmetic number, because the mean of its divisors is an integer number (1728).

2¹⁰⁰¹¹ is an apocalyptic number.

10011 is the 141-st triangular number and also the 71-st hexagonal number.

10011 is a deficient number, since it is larger than the sum of its proper divisors (3813).

10011 is an equidigital number, since it uses as much as digits as its factorization.

10011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121.

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

The square root of 10011 is about 100.0549848833. The cubic root of 10011 is about 21.5522435994.

Adding to 10011 its reverse (11001), we get a palindrome (21012).

Subtracting 10011 from its reverse (11001), we obtain a triangular number (990 = T₄₄).

Multiplying 10011 by its reverse (11001), we get a palindrome (110131011).

It can be divided in two parts, 100 and 11, that added together give a palindrome (111).

The spelling of 10011 in words is "ten thousand, eleven", and thus it is an iban number.