2201101220113 has 2 divisors, whose sum is σ = 2201101220114. Its totient is φ = 2201101220112.

The previous prime is 2201101220009. The next prime is 2201101220159. The reversal of 2201101220113 is 3110221011022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2036408912784 + 164692307329 = 1427028^2 + 405823^2 .

It is a cyclic number.

It is not a de Polignac number, because 2201101220113 - 2¹³ = 2201101211921 is a prime.

It is not a weakly prime, because it can be changed into another prime (2201101220183) 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, 1100550610056 + 1100550610057.

It is an arithmetic number, because the mean of its divisors is an integer number (1100550610057).

Almost surely, 2^{2201101220113} is an apocalyptic number.

It is an amenable number.

2201101220113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201101220113 is an equidigital number, since it uses as much as digits as its factorization.

2201101220113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 2201101220113 its reverse (3110221011022), we get a palindrome (5311322231135).

The spelling of 2201101220113 in words is "two trillion, two hundred one billion, one hundred one million, two hundred twenty thousand, one hundred thirteen".