321103211121 has 64 divisors (see below), whose sum is σ = 600237066240. Its totient is φ = 164797053120.

The previous prime is 321103211101. The next prime is 321103211129. The reversal of 321103211121 is 121112301123.

321103211121 is a `hidden beast` number, since 321 + 1 + 0 + 321 + 1 + 1 + 21 = 666.

It is not a de Polignac number, because 321103211121 - 2¹⁰ = 321103210097 is a prime.

It is a super-3 number, since 3×321103211121³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321103211094 and 321103211103.

It is not an unprimeable number, because it can be changed into a prime (321103211129) 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 63 ways as a sum of consecutive naturals, for example, 757870 + ... + 1102983.

It is an arithmetic number, because the mean of its divisors is an integer number (9378704160).

Almost surely, 2^321103211121 is an apocalyptic number.

It is an amenable number.

321103211121 is a deficient number, since it is larger than the sum of its proper divisors (279133855119).

321103211121 is a wasteful number, since it uses less digits than its factorization.

321103211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860963 (or 1860957 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 321103211121 its reverse (121112301123), we get a palindrome (442215512244).

The spelling of 321103211121 in words is "three hundred twenty-one billion, one hundred three million, two hundred eleven thousand, one hundred twenty-one".