11226111111121 has 2 divisors, whose sum is σ = 11226111111122. Its totient is φ = 11226111111120.

The previous prime is 11226111111067. The next prime is 11226111111169. The reversal of 11226111111121 is 12111111162211.

It is a m-pointer prime, because the next prime (11226111111169) can be obtained adding 11226111111121 to its product of digits (48).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10266032524225 + 960078586896 = 3204065^2 + 979836^2 .

It is a cyclic number.

It is not a de Polignac number, because 11226111111121 - 2³¹ = 11223963627473 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11226111111092 and 11226111111101.

It is not a weakly prime, because it can be changed into another prime (11226111111521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5613055555560 + 5613055555561.

It is an arithmetic number, because the mean of its divisors is an integer number (5613055555561).

Almost surely, 2^{11226111111121} is an apocalyptic number.

It is an amenable number.

11226111111121 is a deficient number, since it is larger than the sum of its proper divisors (1).

11226111111121 is an equidigital number, since it uses as much as digits as its factorization.

11226111111121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 48, while the sum is 22.

Adding to 11226111111121 its reverse (12111111162211), we get a palindrome (23337222273332).

The spelling of 11226111111121 in words is "eleven trillion, two hundred twenty-six billion, one hundred eleven million, one hundred eleven thousand, one hundred twenty-one".