11112111111121 has 2 divisors, whose sum is σ = 11112111111122. Its totient is φ = 11112111111120.

The previous prime is 11112111111113. The next prime is 11112111111139. The reversal of 11112111111121 is 12111111121111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10259618988096 + 852492123025 = 3203064^2 + 923305^2 .

It is a cyclic number.

It is not a de Polignac number, because 11112111111121 - 2³ = 11112111111113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11112111111095 and 11112111111104.

It is not a weakly prime, because it can be changed into another prime (11112111111151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5556055555560 + 5556055555561.

It is an arithmetic number, because the mean of its divisors is an integer number (5556055555561).

Almost surely, 2^{11112111111121} is an apocalyptic number.

It is an amenable number.

11112111111121 is a deficient number, since it is larger than the sum of its proper divisors (1).

11112111111121 is an equidigital number, since it uses as much as digits as its factorization.

11112111111121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4, while the sum is 16.

Adding to 11112111111121 its reverse (12111111121111), we get a palindrome (23223222232232).

It can be divided in two parts, 111 and 12111111121, that multiplied together give a palindrome (1344333334431).

The spelling of 11112111111121 in words is "eleven trillion, one hundred twelve billion, one hundred eleven million, one hundred eleven thousand, one hundred twenty-one".