321110101011123 has 48 divisors (see below), whose sum is σ = 476719215937536. Its totient is φ = 208131294623040.

The previous prime is 321110101011079. The next prime is 321110101011181.

321110101011123 is a `hidden beast` number, since 321 + 110 + 10 + 101 + 1 + 123 = 666.

321110101011123 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-321110101011123 is a prime.

It is a super-2 number, since 2×321110101011123² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321110101011096 and 321110101011105.

It is not an unprimeable number, because it can be changed into a prime (321110101011523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2491034290 + ... + 2491163192.

It is an arithmetic number, because the mean of its divisors is an integer number (9931650332032).

Almost surely, 2^{321110101011123} is an apocalyptic number.

321110101011123 is a deficient number, since it is larger than the sum of its proper divisors (155609114926413).

321110101011123 is a wasteful number, since it uses less digits than its factorization.

321110101011123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134504 (or 134501 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

It can be divided in two parts, 32111010 and 1011123, that added together give a palindrome (33122133).

The spelling of 321110101011123 in words is "three hundred twenty-one trillion, one hundred ten billion, one hundred one million, eleven thousand, one hundred twenty-three".