11212101122111 has 2 divisors, whose sum is σ = 11212101122112. Its totient is φ = 11212101122110.

The previous prime is 11212101122093. The next prime is 11212101122113. The reversal of 11212101122111 is 11122110121211.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 11212101122111 - 2³⁸ = 10937223215167 is a prime.

It is a super-2 number, since 2×11212101122111² (a number of 27 digits) contains 22 as substring.

Together with 11212101122113, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11212101122111.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11212101122113) 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, 5606050561055 + 5606050561056.

It is an arithmetic number, because the mean of its divisors is an integer number (5606050561056).

Almost surely, 2^{11212101122111} is an apocalyptic number.

11212101122111 is a deficient number, since it is larger than the sum of its proper divisors (1).

11212101122111 is an equidigital number, since it uses as much as digits as its factorization.

11212101122111 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 11212101122111 its reverse (11122110121211), we get a palindrome (22334211243322).

The spelling of 11212101122111 in words is "eleven trillion, two hundred twelve billion, one hundred one million, one hundred twenty-two thousand, one hundred eleven".