11122111102121 has 2 divisors, whose sum is σ = 11122111102122. Its totient is φ = 11122111102120.

The previous prime is 11122111102099. The next prime is 11122111102187. The reversal of 11122111102121 is 12120111122111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8367626509225 + 2754484592896 = 2892685^2 + 1659664^2 .

It is a cyclic number.

It is not a de Polignac number, because 11122111102121 - 2³⁰ = 11121037360297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11122111102121.

It is not a weakly prime, because it can be changed into another prime (11122111101121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5561055551060 + 5561055551061.

It is an arithmetic number, because the mean of its divisors is an integer number (5561055551061).

Almost surely, 2^{11122111102121} is an apocalyptic number.

It is an amenable number.

11122111102121 is a deficient number, since it is larger than the sum of its proper divisors (1).

11122111102121 is an equidigital number, since it uses as much as digits as its factorization.

11122111102121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 11122111102121 its reverse (12120111122111), we get a palindrome (23242222224232).

The spelling of 11122111102121 in words is "eleven trillion, one hundred twenty-two billion, one hundred eleven million, one hundred two thousand, one hundred twenty-one".