2122201122113 has 2 divisors, whose sum is σ = 2122201122114. Its totient is φ = 2122201122112.

The previous prime is 2122201122109. The next prime is 2122201122121. The reversal of 2122201122113 is 3112211022212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1911284130064 + 210916992049 = 1382492^2 + 459257^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122201122113 - 2² = 2122201122109 is a prime.

It is not a weakly prime, because it can be changed into another prime (2122201122133) 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, 1061100561056 + 1061100561057.

It is an arithmetic number, because the mean of its divisors is an integer number (1061100561057).

Almost surely, 2^{2122201122113} is an apocalyptic number.

It is an amenable number.

2122201122113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122201122113 is an equidigital number, since it uses as much as digits as its factorization.

2122201122113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 2122201122113 its reverse (3112211022212), we get a palindrome (5234412144325).

Subtracting 2122201122113 from its reverse (3112211022212), we obtain a palindrome (990009900099).

The spelling of 2122201122113 in words is "two trillion, one hundred twenty-two billion, two hundred one million, one hundred twenty-two thousand, one hundred thirteen".