11011000121111 has 2 divisors, whose sum is σ = 11011000121112. Its totient is φ = 11011000121110.

The previous prime is 11011000121089. The next prime is 11011000121161. The reversal of 11011000121111 is 11112100011011.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 11011000121111 - 2⁶ = 11011000121047 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11011000121092 and 11011000121101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11011000121161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5505500060555 + 5505500060556.

It is an arithmetic number, because the mean of its divisors is an integer number (5505500060556).

Almost surely, 2^{11011000121111} is an apocalyptic number.

11011000121111 is a deficient number, since it is larger than the sum of its proper divisors (1).

11011000121111 is an equidigital number, since it uses as much as digits as its factorization.

11011000121111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 11011000121111 its reverse (11112100011011), we get a palindrome (22123100132122).

The spelling of 11011000121111 in words is "eleven trillion, eleven billion, one hundred twenty-one thousand, one hundred eleven".