10022111122201 has 2 divisors, whose sum is σ = 10022111122202. Its totient is φ = 10022111122200.

The previous prime is 10022111122187. The next prime is 10022111122217. The reversal of 10022111122201 is 10222111122001.

It is an a-pointer prime, because the next prime (10022111122217) can be obtained adding 10022111122201 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7112275603225 + 2909835518976 = 2666885^2 + 1705824^2 .

It is an emirp because it is prime and its reverse (10222111122001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10022111122201 - 2⁹ = 10022111121689 is a prime.

It is a super-2 number, since 2×10022111122201² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10022111122241) 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, 5011055561100 + 5011055561101.

It is an arithmetic number, because the mean of its divisors is an integer number (5011055561101).

Almost surely, 2^{10022111122201} is an apocalyptic number.

It is an amenable number.

10022111122201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022111122201 is an equidigital number, since it uses as much as digits as its factorization.

10022111122201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10022111122201 its reverse (10222111122001), we get a palindrome (20244222244202).

The spelling of 10022111122201 in words is "ten trillion, twenty-two billion, one hundred eleven million, one hundred twenty-two thousand, two hundred one".