321001100123 has 16 divisors (see below), whose sum is σ = 350809357536. Its totient is φ = 291297584640.

The previous prime is 321001100099. The next prime is 321001100129.

321001100123 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 321001100123 - 2¹⁰ = 321001099099 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 321001100098 and 321001100107.

It is not an unprimeable number, because it can be changed into a prime (321001100129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22867715 + ... + 22881747.

It is an arithmetic number, because the mean of its divisors is an integer number (21925584846).

Almost surely, 2^321001100123 is an apocalyptic number.

321001100123 is a deficient number, since it is larger than the sum of its proper divisors (29808257413).

321001100123 is a wasteful number, since it uses less digits than its factorization.

321001100123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17614.

The product of its (nonzero) digits is 36, while the sum is 14.

It can be divided in two parts, 321001 and 100123, that added together give a palindrome (421124).

The spelling of 321001100123 in words is "three hundred twenty-one billion, one million, one hundred thousand, one hundred twenty-three".