2222211100301 has 2 divisors, whose sum is σ = 2222211100302. Its totient is φ = 2222211100300.

The previous prime is 2222211100157. The next prime is 2222211100303. The reversal of 2222211100301 is 1030011122222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2158257748201 + 63953352100 = 1469101^2 + 252890^2 .

It is a cyclic number.

It is not a de Polignac number, because 2222211100301 - 2²⁶ = 2222143991437 is a prime.

Together with 2222211100303, 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 2222211100301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2222211100303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1111105550150 + 1111105550151.

It is an arithmetic number, because the mean of its divisors is an integer number (1111105550151).

Almost surely, 2^{2222211100301} is an apocalyptic number.

It is an amenable number.

2222211100301 is a deficient number, since it is larger than the sum of its proper divisors (1).

2222211100301 is an equidigital number, since it uses as much as digits as its factorization.

2222211100301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 2222211100301 its reverse (1030011122222), we get a palindrome (3252222222523).

The spelling of 2222211100301 in words is "two trillion, two hundred twenty-two billion, two hundred eleven million, one hundred thousand, three hundred one".