112002112202213 has 2 divisors, whose sum is σ = 112002112202214. Its totient is φ = 112002112202212.

The previous prime is 112002112202177. The next prime is 112002112202243. The reversal of 112002112202213 is 312202211200211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75865458766084 + 36136653436129 = 8710078^2 + 6011377^2 .

It is a cyclic number.

It is not a de Polignac number, because 112002112202213 - 2¹⁴ = 112002112185829 is a prime.

It is a super-2 number, since 2×112002112202213² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112002112202243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56001056101106 + 56001056101107.

It is an arithmetic number, because the mean of its divisors is an integer number (56001056101107).

Almost surely, 2^{112002112202213} is an apocalyptic number.

It is an amenable number.

112002112202213 is a deficient number, since it is larger than the sum of its proper divisors (1).

112002112202213 is an equidigital number, since it uses as much as digits as its factorization.

112002112202213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 112002112202213 its reverse (312202211200211), we get a palindrome (424204323402424).

The spelling of 112002112202213 in words is "one hundred twelve trillion, two billion, one hundred twelve million, two hundred two thousand, two hundred thirteen".