10011322321 has 96 divisors (see below), whose sum is σ = 14543262720. Its totient is φ = 6681692160.

The previous prime is 10011322301. The next prime is 10011322333. The reversal of 10011322321 is 12322311001.

10011322321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10011322321 - 2¹³ = 10011314129 is a prime.

It is a super-2 number, since 2×10011322321² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10011322295 and 10011322304.

It is not an unprimeable number, because it can be changed into a prime (10011322301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14787435 + ... + 14788111.

It is an arithmetic number, because the mean of its divisors is an integer number (151492320).

Almost surely, 2^10011322321 is an apocalyptic number.

10011322321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10011322321 is a deficient number, since it is larger than the sum of its proper divisors (4531940399).

10011322321 is a wasteful number, since it uses less digits than its factorization.

10011322321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10011322321 its reverse (12322311001), we get a palindrome (22333633322).

The spelling of 10011322321 in words is "ten billion, eleven million, three hundred twenty-two thousand, three hundred twenty-one".