11211011221121 has 2 divisors, whose sum is σ = 11211011221122. Its totient is φ = 11211011221120.

The previous prime is 11211011221019. The next prime is 11211011221169. The reversal of 11211011221121 is 12112211011211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9009986768896 + 2201024452225 = 3001664^2 + 1483585^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11211011221121 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11211011221121.

It is not a weakly prime, because it can be changed into another prime (11211011271121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5605505610560 + 5605505610561.

It is an arithmetic number, because the mean of its divisors is an integer number (5605505610561).

Almost surely, 2^{11211011221121} is an apocalyptic number.

It is an amenable number.

11211011221121 is a deficient number, since it is larger than the sum of its proper divisors (1).

11211011221121 is an equidigital number, since it uses as much as digits as its factorization.

11211011221121 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 11211011221121 its reverse (12112211011211), we get a palindrome (23323222232332).

The spelling of 11211011221121 in words is "eleven trillion, two hundred eleven billion, eleven million, two hundred twenty-one thousand, one hundred twenty-one".