311122100001 has 8 divisors (see below), whose sum is σ = 415596251584. Its totient is φ = 207031340880.

The previous prime is 311122099999. The next prime is 311122100063. The reversal of 311122100001 is 100001221113.

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

It is not a de Polignac number, because 311122100001 - 2¹ = 311122099999 is a prime.

It is a super-2 number, since 2×311122100001² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 311122100001.

It is not an unprimeable number, because it can be changed into a prime (311122100101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95846221 + ... + 95849466.

It is an arithmetic number, because the mean of its divisors is an integer number (51949531448).

Almost surely, 2^311122100001 is an apocalyptic number.

It is an amenable number.

311122100001 is a deficient number, since it is larger than the sum of its proper divisors (104474151583).

311122100001 is a wasteful number, since it uses less digits than its factorization.

311122100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191696231.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 311122100001 its reverse (100001221113), we get a palindrome (411123321114).

The spelling of 311122100001 in words is "three hundred eleven billion, one hundred twenty-two million, one hundred thousand, one".