10111201102193 has 2 divisors, whose sum is σ = 10111201102194. Its totient is φ = 10111201102192.

The previous prime is 10111201102183. The next prime is 10111201102231. The reversal of 10111201102193 is 39120110211101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9300133350544 + 811067751649 = 3049612^2 + 900593^2 .

It is an emirp because it is prime and its reverse (39120110211101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10111201102193 - 2¹⁴ = 10111201085809 is a prime.

It is not a weakly prime, because it can be changed into another prime (10111201102103) 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, 5055600551096 + 5055600551097.

It is an arithmetic number, because the mean of its divisors is an integer number (5055600551097).

Almost surely, 2^{10111201102193} is an apocalyptic number.

It is an amenable number.

10111201102193 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111201102193 is an equidigital number, since it uses as much as digits as its factorization.

10111201102193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 23.

Adding to 10111201102193 its reverse (39120110211101), we get a palindrome (49231311313294).

The spelling of 10111201102193 in words is "ten trillion, one hundred eleven billion, two hundred one million, one hundred two thousand, one hundred ninety-three".