2002022211113 has 2 divisors, whose sum is σ = 2002022211114. Its totient is φ = 2002022211112.

The previous prime is 2002022211097. The next prime is 2002022211131. The reversal of 2002022211113 is 3111122202002.

Together with next prime (2002022211131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1697465025424 + 304557185689 = 1302868^2 + 551867^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002022211113 - 2⁴ = 2002022211097 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 = 2002022211091 and 2002022211100.

It is not a weakly prime, because it can be changed into another prime (2002022211143) 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, 1001011105556 + 1001011105557.

It is an arithmetic number, because the mean of its divisors is an integer number (1001011105557).

Almost surely, 2^{2002022211113} is an apocalyptic number.

It is an amenable number.

2002022211113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002022211113 is an equidigital number, since it uses as much as digits as its factorization.

2002022211113 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 2002022211113 its reverse (3111122202002), we get a palindrome (5113144413115).

The spelling of 2002022211113 in words is "two trillion, two billion, twenty-two million, two hundred eleven thousand, one hundred thirteen".