2002112201113 has 2 divisors, whose sum is σ = 2002112201114. Its totient is φ = 2002112201112.

The previous prime is 2002112201107. The next prime is 2002112201129. The reversal of 2002112201113 is 3111022112002.

It is an a-pointer prime, because the next prime (2002112201129) can be obtained adding 2002112201113 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1984979485449 + 17132715664 = 1408893^2 + 130892^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2002112201113 is a prime.

It is not a weakly prime, because it can be changed into another prime (2002112201183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001056100556 + 1001056100557.

It is an arithmetic number, because the mean of its divisors is an integer number (1001056100557).

Almost surely, 2^{2002112201113} is an apocalyptic number.

It is an amenable number.

2002112201113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002112201113 is an equidigital number, since it uses as much as digits as its factorization.

2002112201113 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 2002112201113 its reverse (3111022112002), we get a palindrome (5113134313115).

The spelling of 2002112201113 in words is "two trillion, two billion, one hundred twelve million, two hundred one thousand, one hundred thirteen".