311112112121 has 2 divisors, whose sum is σ = 311112112122. Its totient is φ = 311112112120.

The previous prime is 311112112111. The next prime is 311112112141. The reversal of 311112112121 is 121211211113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 290930784400 + 20181327721 = 539380^2 + 142061^2 .

It is a cyclic number.

It is not a de Polignac number, because 311112112121 - 2¹⁴ = 311112095737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 311112112121.

It is not a weakly prime, because it can be changed into another prime (311112112111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155556056060 + 155556056061.

It is an arithmetic number, because the mean of its divisors is an integer number (155556056061).

Almost surely, 2^311112112121 is an apocalyptic number.

It is an amenable number.

311112112121 is a deficient number, since it is larger than the sum of its proper divisors (1).

311112112121 is an equidigital number, since it uses as much as digits as its factorization.

311112112121 is an odious number, because the sum of its binary digits is odd.

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

Adding to 311112112121 its reverse (121211211113), we get a palindrome (432323323234).

The spelling of 311112112121 in words is "three hundred eleven billion, one hundred twelve million, one hundred twelve thousand, one hundred twenty-one".