10100321 has 16 divisors (see below), whose sum is σ = 12854400. Its totient is φ = 7867440.

The previous prime is 10100291. The next prime is 10100333. The reversal of 10100321 is 12300101.

It is not a de Polignac number, because 10100321 - 2¹⁴ = 10083937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100299 and 10100308.

It is not an unprimeable number, because it can be changed into a prime (10100351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2435 + ... + 5111.

It is an arithmetic number, because the mean of its divisors is an integer number (803400).

Almost surely, 2^10100321 is an apocalyptic number.

10100321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100321 is a deficient number, since it is larger than the sum of its proper divisors (2754079).

10100321 is an equidigital number, since it uses as much as digits as its factorization.

10100321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709 (or 2695 counting only the distinct ones).

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

The square root of 10100321 is about 3178.1002186841. The cubic root of 10100321 is about 216.1615232740.

Adding to 10100321 its reverse (12300101), we get a palindrome (22400422).

The spelling of 10100321 in words is "ten million, one hundred thousand, three hundred twenty-one".