321112211101001 has 8 divisors (see below), whose sum is σ = 321181821678240. Its totient is φ = 321042608062848.

The previous prime is 321112211100991. The next prime is 321112211101079. The reversal of 321112211101001 is 100101112211123.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-321112211101001 is a prime.

It is a super-3 number, since 3×321112211101001³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (321112211101901) 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 7 ways as a sum of consecutive naturals, for example, 83731385 + ... + 87482393.

It is an arithmetic number, because the mean of its divisors is an integer number (40147727709780).

Almost surely, 2^{321112211101001} is an apocalyptic number.

It is an amenable number.

321112211101001 is a deficient number, since it is larger than the sum of its proper divisors (69610577239).

321112211101001 is an equidigital number, since it uses as much as digits as its factorization.

321112211101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3769543.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 321112211101001 its reverse (100101112211123), we get a palindrome (421213323312124).

The spelling of 321112211101001 in words is "three hundred twenty-one trillion, one hundred twelve billion, two hundred eleven million, one hundred one thousand, one".