10011002112193 has 2 divisors, whose sum is σ = 10011002112194. Its totient is φ = 10011002112192.

The previous prime is 10011002112169. The next prime is 10011002112263. The reversal of 10011002112193 is 39121120011001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9815043612609 + 195958499584 = 3132897^2 + 442672^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011002112193 - 2²⁵ = 10010968557761 is a prime.

It is not a weakly prime, because it can be changed into another prime (10011002112493) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005501056096 + 5005501056097.

It is an arithmetic number, because the mean of its divisors is an integer number (5005501056097).

Almost surely, 2^{10011002112193} is an apocalyptic number.

It is an amenable number.

10011002112193 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011002112193 is an equidigital number, since it uses as much as digits as its factorization.

10011002112193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 22.

Adding to 10011002112193 its reverse (39121120011001), we get a palindrome (49132122123194).

The spelling of 10011002112193 in words is "ten trillion, eleven billion, two million, one hundred twelve thousand, one hundred ninety-three".