321100001123 has 16 divisors (see below), whose sum is σ = 351865140480. Its totient is φ = 290598420000.

The previous prime is 321100001093. The next prime is 321100001279.

321100001123 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 321100001123 - 2²⁶ = 321032892259 is a prime.

It is a super-4 number, since 4×321100001123⁴ (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 321100001098 and 321100001107.

It is not an unprimeable number, because it can be changed into a prime (321100001723) 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, 5601161 + ... + 5658197.

It is an arithmetic number, because the mean of its divisors is an integer number (21991571280).

Almost surely, 2^321100001123 is an apocalyptic number.

321100001123 is a deficient number, since it is larger than the sum of its proper divisors (30765139357).

321100001123 is a wasteful number, since it uses less digits than its factorization.

321100001123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59338.

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

It can be divided in two parts, 32110000 and 1123, that added together give a palindrome (32111123).

The spelling of 321100001123 in words is "three hundred twenty-one billion, one hundred million, one thousand, one hundred twenty-three".