22001022120113 has 2 divisors, whose sum is σ = 22001022120114. Its totient is φ = 22001022120112.

The previous prime is 22001022120097. The next prime is 22001022120167. The reversal of 22001022120113 is 31102122010022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13754062570609 + 8246959549504 = 3708647^2 + 2871752^2 .

It is a cyclic number.

It is not a de Polignac number, because 22001022120113 - 2⁴ = 22001022120097 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22001022120091 and 22001022120100.

It is not a weakly prime, because it can be changed into another prime (22001022120173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11000511060056 + 11000511060057.

It is an arithmetic number, because the mean of its divisors is an integer number (11000511060057).

Almost surely, 2^{22001022120113} is an apocalyptic number.

It is an amenable number.

22001022120113 is a deficient number, since it is larger than the sum of its proper divisors (1).

22001022120113 is an equidigital number, since it uses as much as digits as its factorization.

22001022120113 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 22001022120113 its reverse (31102122010022), we get a palindrome (53103144130135).

The spelling of 22001022120113 in words is "twenty-two trillion, one billion, twenty-two million, one hundred twenty thousand, one hundred thirteen".