22011122111201 has 2 divisors, whose sum is σ = 22011122111202. Its totient is φ = 22011122111200.

The previous prime is 22011122111189. The next prime is 22011122111203. The reversal of 22011122111201 is 10211122111022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12643855872400 + 9367266238801 = 3555820^2 + 3060599^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-22011122111201 is a prime.

Together with 22011122111203, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22011122111201.

It is not a weakly prime, because it can be changed into another prime (22011122111203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11005561055600 + 11005561055601.

It is an arithmetic number, because the mean of its divisors is an integer number (11005561055601).

Almost surely, 2^{22011122111201} is an apocalyptic number.

It is an amenable number.

22011122111201 is a deficient number, since it is larger than the sum of its proper divisors (1).

22011122111201 is an equidigital number, since it uses as much as digits as its factorization.

22011122111201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 22011122111201 its reverse (10211122111022), we get a palindrome (32222244222223).

The spelling of 22011122111201 in words is "twenty-two trillion, eleven billion, one hundred twenty-two million, one hundred eleven thousand, two hundred one".