11011112121127 has 2 divisors, whose sum is σ = 11011112121128. Its totient is φ = 11011112121126.

The previous prime is 11011112120927. The next prime is 11011112121161. The reversal of 11011112121127 is 72112121111011.

It is a happy number.

11011112121127 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (72112121111011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11011112121127 - 2¹⁵ = 11011112088359 is a prime.

It is a super-2 number, since 2×11011112121127² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11011112121098 and 11011112121107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11011112121167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5505556060563 + 5505556060564.

It is an arithmetic number, because the mean of its divisors is an integer number (5505556060564).

Almost surely, 2^{11011112121127} is an apocalyptic number.

11011112121127 is a deficient number, since it is larger than the sum of its proper divisors (1).

11011112121127 is an equidigital number, since it uses as much as digits as its factorization.

11011112121127 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 22.

Adding to 11011112121127 its reverse (72112121111011), we get a palindrome (83123233232138).

The spelling of 11011112121127 in words is "eleven trillion, eleven billion, one hundred twelve million, one hundred twenty-one thousand, one hundred twenty-seven".