2131111111121 has 2 divisors, whose sum is σ = 2131111111122. Its totient is φ = 2131111111120.

The previous prime is 2131111111081. The next prime is 2131111111133. The reversal of 2131111111121 is 1211111111312.

It is a m-pointer prime, because the next prime (2131111111133) can be obtained adding 2131111111121 to its product of digits (12).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1864685836225 + 266425274896 = 1365535^2 + 516164^2 .

It is a cyclic number.

It is not a de Polignac number, because 2131111111121 - 2¹⁰ = 2131111110097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2131111111121.

It is not a weakly prime, because it can be changed into another prime (2131111111321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1065555555560 + 1065555555561.

It is an arithmetic number, because the mean of its divisors is an integer number (1065555555561).

Almost surely, 2^{2131111111121} is an apocalyptic number.

It is an amenable number.

2131111111121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2131111111121 is an equidigital number, since it uses as much as digits as its factorization.

2131111111121 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 2131111111121 its reverse (1211111111312), we get a palindrome (3342222222433).

The spelling of 2131111111121 in words is "two trillion, one hundred thirty-one billion, one hundred eleven million, one hundred eleven thousand, one hundred twenty-one".