3111123111121 has 2 divisors, whose sum is σ = 3111123111122. Its totient is φ = 3111123111120.

The previous prime is 3111123111119. The next prime is 3111123111157. The reversal of 3111123111121 is 1211113211113.

3111123111121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a m-pointer prime, because the next prime (3111123111157) can be obtained adding 3111123111121 to its product of digits (36).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2710040288400 + 401082822721 = 1646220^2 + 633311^2 .

It is a cyclic number.

It is not a de Polignac number, because 3111123111121 - 2¹ = 3111123111119 is a prime.

It is a super-2 number, since 2×3111123111121² (a number of 26 digits) contains 22 as substring.

Together with 3111123111119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (3111123111181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1555561555560 + 1555561555561.

It is an arithmetic number, because the mean of its divisors is an integer number (1555561555561).

Almost surely, 2^{3111123111121} is an apocalyptic number.

It is an amenable number.

3111123111121 is a deficient number, since it is larger than the sum of its proper divisors (1).

3111123111121 is an equidigital number, since it uses as much as digits as its factorization.

3111123111121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36, while the sum is 19.

Adding to 3111123111121 its reverse (1211113211113), we get a palindrome (4322236322234).

The spelling of 3111123111121 in words is "three trillion, one hundred eleven billion, one hundred twenty-three million, one hundred eleven thousand, one hundred twenty-one".