22011110111101 has 2 divisors, whose sum is σ = 22011110111102. Its totient is φ = 22011110111100.

The previous prime is 22011110111071. The next prime is 22011110111117. The reversal of 22011110111101 is 10111101111022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17419153987876 + 4591956123225 = 4173626^2 + 2142885^2 .

It is a cyclic number.

It is not a de Polignac number, because 22011110111101 - 2¹⁷ = 22011109980029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22011110111131) 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, 11005555055550 + 11005555055551.

It is an arithmetic number, because the mean of its divisors is an integer number (11005555055551).

Almost surely, 2^{22011110111101} is an apocalyptic number.

It is an amenable number.

22011110111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

22011110111101 is an equidigital number, since it uses as much as digits as its factorization.

22011110111101 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 22011110111101 its reverse (10111101111022), we get a palindrome (32122211222123).

The spelling of 22011110111101 in words is "twenty-two trillion, eleven billion, one hundred ten million, one hundred eleven thousand, one hundred one".