11021101121101 has 2 divisors, whose sum is σ = 11021101121102. Its totient is φ = 11021101121100.

The previous prime is 11021101121089. The next prime is 11021101121123. The reversal of 11021101121101 is 10112110112011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10988727755625 + 32373365476 = 3314925^2 + 179926^2 .

It is an emirp because it is prime and its reverse (10112110112011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11021101121101 - 2¹¹ = 11021101119053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11021101121161) 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, 5510550560550 + 5510550560551.

It is an arithmetic number, because the mean of its divisors is an integer number (5510550560551).

Almost surely, 2^{11021101121101} is an apocalyptic number.

It is an amenable number.

11021101121101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11021101121101 is an equidigital number, since it uses as much as digits as its factorization.

11021101121101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 11021101121101 its reverse (10112110112011), we get a palindrome (21133211233112).

The spelling of 11021101121101 in words is "eleven trillion, twenty-one billion, one hundred one million, one hundred twenty-one thousand, one hundred one".