22010200100113 has 2 divisors, whose sum is σ = 22010200100114. Its totient is φ = 22010200100112.

The previous prime is 22010200100111. The next prime is 22010200100173. The reversal of 22010200100113 is 31100100201022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18387698695744 + 3622501404369 = 4288088^2 + 1903287^2 .

It is a cyclic number.

It is not a de Polignac number, because 22010200100113 - 2¹ = 22010200100111 is a prime.

It is a super-2 number, since 2×22010200100113² (a number of 27 digits) contains 22 as substring.

Together with 22010200100111, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 22010200100093 and 22010200100102.

It is not a weakly prime, because it can be changed into another prime (22010200100111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11005100050056 + 11005100050057.

It is an arithmetic number, because the mean of its divisors is an integer number (11005100050057).

Almost surely, 2^{22010200100113} is an apocalyptic number.

It is an amenable number.

22010200100113 is a deficient number, since it is larger than the sum of its proper divisors (1).

22010200100113 is an equidigital number, since it uses as much as digits as its factorization.

22010200100113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 22010200100113 its reverse (31100100201022), we get a palindrome (53110300301135).

The spelling of 22010200100113 in words is "twenty-two trillion, ten billion, two hundred million, one hundred thousand, one hundred thirteen".