1001022112193 has 2 divisors, whose sum is σ = 1001022112194. Its totient is φ = 1001022112192.

The previous prime is 1001022112159. The next prime is 1001022112217. The reversal of 1001022112193 is 3912112201001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 822518397184 + 178503715009 = 906928^2 + 422497^2 .

It is an emirp because it is prime and its reverse (3912112201001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001022112193 - 2¹⁶ = 1001022046657 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001022112693) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500511056096 + 500511056097.

It is an arithmetic number, because the mean of its divisors is an integer number (500511056097).

Almost surely, 2^{1001022112193} is an apocalyptic number.

It is an amenable number.

1001022112193 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001022112193 is an equidigital number, since it uses as much as digits as its factorization.

1001022112193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 23.

Adding to 1001022112193 its reverse (3912112201001), we get a palindrome (4913134313194).

The spelling of 1001022112193 in words is "one trillion, one billion, twenty-two million, one hundred twelve thousand, one hundred ninety-three".