11102122111009 has 2 divisors, whose sum is σ = 11102122111010. Its totient is φ = 11102122111008.

The previous prime is 11102122110997. The next prime is 11102122111019. The reversal of 11102122111009 is 90011122120111.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6274258493409 + 4827863617600 = 2504847^2 + 2197240^2 .

It is a cyclic number.

It is not a de Polignac number, because 11102122111009 - 2¹³ = 11102122102817 is a prime.

It is not a weakly prime, because it can be changed into another prime (11102122111019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5551061055504 + 5551061055505.

It is an arithmetic number, because the mean of its divisors is an integer number (5551061055505).

Almost surely, 2^{11102122111009} is an apocalyptic number.

It is an amenable number.

11102122111009 is a deficient number, since it is larger than the sum of its proper divisors (1).

11102122111009 is an equidigital number, since it uses as much as digits as its factorization.

11102122111009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 11102122111009 in words is "eleven trillion, one hundred two billion, one hundred twenty-two million, one hundred eleven thousand, nine".