22111111121101 has 2 divisors, whose sum is σ = 22111111121102. Its totient is φ = 22111111121100.

The previous prime is 22111111121041. The next prime is 22111111121123. The reversal of 22111111121101 is 10112111111122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16281305700100 + 5829805421001 = 4035010^2 + 2414499^2 .

It is a cyclic number.

It is not a de Polignac number, because 22111111121101 - 2¹⁷ = 22111110990029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22111111121161) 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, 11055555560550 + 11055555560551.

It is an arithmetic number, because the mean of its divisors is an integer number (11055555560551).

Almost surely, 2^{22111111121101} is an apocalyptic number.

It is an amenable number.

22111111121101 is a deficient number, since it is larger than the sum of its proper divisors (1).

22111111121101 is an equidigital number, since it uses as much as digits as its factorization.

22111111121101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 22111111121101 its reverse (10112111111122), we get a palindrome (32223222232223).

The spelling of 22111111121101 in words is "twenty-two trillion, one hundred eleven billion, one hundred eleven million, one hundred twenty-one thousand, one hundred one".