22222113101 has 2 divisors, whose sum is σ = 22222113102. Its totient is φ = 22222113100.

The previous prime is 22222113083. The next prime is 22222113103. The reversal of 22222113101 is 10131122222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21565216201 + 656896900 = 146851^2 + 25630^2 .

It is a cyclic number.

It is not a de Polignac number, because 22222113101 - 2¹⁴ = 22222096717 is a prime.

Together with 22222113103, 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 22222113101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22222113103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11111056550 + 11111056551.

It is an arithmetic number, because the mean of its divisors is an integer number (11111056551).

Almost surely, 2^22222113101 is an apocalyptic number.

It is an amenable number.

22222113101 is a deficient number, since it is larger than the sum of its proper divisors (1).

22222113101 is an equidigital number, since it uses as much as digits as its factorization.

22222113101 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 22222113101 its reverse (10131122222), we get a palindrome (32353235323).

The spelling of 22222113101 in words is "twenty-two billion, two hundred twenty-two million, one hundred thirteen thousand, one hundred one".