10022012220193 has 2 divisors, whose sum is σ = 10022012220194. Its totient is φ = 10022012220192.

The previous prime is 10022012220191. The next prime is 10022012220221. The reversal of 10022012220193 is 39102221022001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6463914710929 + 3558097509264 = 2542423^2 + 1886292^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022012220193 - 2¹ = 10022012220191 is a prime.

Together with 10022012220191, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10022012220191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5011006110096 + 5011006110097.

It is an arithmetic number, because the mean of its divisors is an integer number (5011006110097).

Almost surely, 2^{10022012220193} is an apocalyptic number.

It is an amenable number.

10022012220193 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022012220193 is an equidigital number, since it uses as much as digits as its factorization.

10022012220193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 10022012220193 its reverse (39102221022001), we get a palindrome (49124233242194).

The spelling of 10022012220193 in words is "ten trillion, twenty-two billion, twelve million, two hundred twenty thousand, one hundred ninety-three".