111001100321 has 8 divisors (see below), whose sum is σ = 114837301800. Its totient is φ = 107165470720.

The previous prime is 111001100317. The next prime is 111001100359. The reversal of 111001100321 is 123001100111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13791214096 + 97209886225 = 117436^2 + 311785^2 .

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 111001100321 - 2² = 111001100317 is a prime.

It is a super-4 number, since 4×111001100321⁴ (a number of 45 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111001108321) 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, 272435 + ... + 544263.

It is an arithmetic number, because the mean of its divisors is an integer number (14354662725).

Almost surely, 2^111001100321 is an apocalyptic number.

It is an amenable number.

111001100321 is a deficient number, since it is larger than the sum of its proper divisors (3836201479).

111001100321 is a wasteful number, since it uses less digits than its factorization.

111001100321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285939.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 111001100321 its reverse (123001100111), we get a palindrome (234002200432).

The spelling of 111001100321 in words is "one hundred eleven billion, one million, one hundred thousand, three hundred twenty-one".