22101222122201 has 2 divisors, whose sum is σ = 22101222122202. Its totient is φ = 22101222122200.

The previous prime is 22101222122191. The next prime is 22101222122249. The reversal of 22101222122201 is 10222122210122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19973346414025 + 2127875708176 = 4469155^2 + 1458724^2 .

It is a cyclic number.

It is not a de Polignac number, because 22101222122201 - 2¹⁴ = 22101222105817 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (22101222122261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050611061100 + 11050611061101.

It is an arithmetic number, because the mean of its divisors is an integer number (11050611061101).

Almost surely, 2^{22101222122201} is an apocalyptic number.

It is an amenable number.

22101222122201 is a deficient number, since it is larger than the sum of its proper divisors (1).

22101222122201 is an equidigital number, since it uses as much as digits as its factorization.

22101222122201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 22101222122201 its reverse (10222122210122), we get a palindrome (32323344332323).

The spelling of 22101222122201 in words is "twenty-two trillion, one hundred one billion, two hundred twenty-two million, one hundred twenty-two thousand, two hundred one".