321100101001123 has 8 divisors (see below), whose sum is σ = 321564151888592. Its totient is φ = 320636192363136.

The previous prime is 321100101001117. The next prime is 321100101001153.

It is a happy number.

321100101001123 is nontrivially palindromic in base 10.

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 321100101001123 - 2³³ = 321091511066531 is a prime.

It is a super-2 number, since 2×321100101001123² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 321100101001097 and 321100101001106.

It is not an unprimeable number, because it can be changed into a prime (321100101001153) 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, 31044090 + ... + 40074127.

It is an arithmetic number, because the mean of its divisors is an integer number (40195518986074).

Almost surely, 2^{321100101001123} is an apocalyptic number.

321100101001123 is a deficient number, since it is larger than the sum of its proper divisors (464050887469).

321100101001123 is an equidigital number, since it uses as much as digits as its factorization.

321100101001123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71124741.

The product of its (nonzero) digits is 36, while the sum is 16.

It can be divided in two parts, 32110010 and 1001123, that added together give a palindrome (33111133).

The spelling of 321100101001123 in words is "three hundred twenty-one trillion, one hundred billion, one hundred one million, one thousand, one hundred twenty-three".