3111111121121 has 2 divisors, whose sum is σ = 3111111121122. Its totient is φ = 3111111121120.

The previous prime is 3111111121117. The next prime is 3111111121133. The reversal of 3111111121121 is 1211211111113.

It is a m-pointer prime, because the next prime (3111111121133) can be obtained adding 3111111121121 to its product of digits (12).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2076872970496 + 1034238150625 = 1441136^2 + 1016975^2 .

It is a cyclic number.

It is not a de Polignac number, because 3111111121121 - 2² = 3111111121117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3111111121121.

It is not a weakly prime, because it can be changed into another prime (3111111120121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1555555560560 + 1555555560561.

It is an arithmetic number, because the mean of its divisors is an integer number (1555555560561).

Almost surely, 2^{3111111121121} is an apocalyptic number.

It is an amenable number.

3111111121121 is a deficient number, since it is larger than the sum of its proper divisors (1).

3111111121121 is an equidigital number, since it uses as much as digits as its factorization.

3111111121121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 12, while the sum is 17.

Adding to 3111111121121 its reverse (1211211111113), we get a palindrome (4322322232234).

The spelling of 3111111121121 in words is "three trillion, one hundred eleven billion, one hundred eleven million, one hundred twenty-one thousand, one hundred twenty-one".