11212122111101 has 2 divisors, whose sum is σ = 11212122111102. Its totient is φ = 11212122111100.

The previous prime is 11212122111053. The next prime is 11212122111109. The reversal of 11212122111101 is 10111122121211.

11212122111101 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 can be written as a sum of positive squares in only one way, i.e., 10526163804025 + 685958307076 = 3244405^2 + 828226^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11212122111101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11212122111101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11212122111109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5606061055550 + 5606061055551.

It is an arithmetic number, because the mean of its divisors is an integer number (5606061055551).

Almost surely, 2^{11212122111101} is an apocalyptic number.

It is an amenable number.

11212122111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11212122111101 is an equidigital number, since it uses as much as digits as its factorization.

11212122111101 is an evil number, because the sum of its binary digits is even.

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

Adding to 11212122111101 its reverse (10111122121211), we get a palindrome (21323244232312).

The spelling of 11212122111101 in words is "eleven trillion, two hundred twelve billion, one hundred twenty-two million, one hundred eleven thousand, one hundred one".