11220122122201 has 2 divisors, whose sum is σ = 11220122122202. Its totient is φ = 11220122122200.

The previous prime is 11220122122199. The next prime is 11220122122327. The reversal of 11220122122201 is 10222122102211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6284793288601 + 4935328833600 = 2506949^2 + 2221560^2 .

It is a cyclic number.

It is not a de Polignac number, because 11220122122201 - 2¹ = 11220122122199 is a prime.

It is a super-2 number, since 2×11220122122201² (a number of 27 digits) contains 22 as substring.

Together with 11220122122199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (11220122822201) 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, 5610061061100 + 5610061061101.

It is an arithmetic number, because the mean of its divisors is an integer number (5610061061101).

Almost surely, 2^{11220122122201} is an apocalyptic number.

It is an amenable number.

11220122122201 is a deficient number, since it is larger than the sum of its proper divisors (1).

11220122122201 is an equidigital number, since it uses as much as digits as its factorization.

11220122122201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 11220122122201 its reverse (10222122102211), we get a palindrome (21442244224412).

The spelling of 11220122122201 in words is "eleven trillion, two hundred twenty billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred one".