10111110111073 has 2 divisors, whose sum is σ = 10111110111074. Its totient is φ = 10111110111072.

The previous prime is 10111110111071. The next prime is 10111110111131. The reversal of 10111110111073 is 37011101111101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8003987873424 + 2107122237649 = 2829132^2 + 1451593^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111110111073 - 2¹ = 10111110111071 is a prime.

It is a super-2 number, since 2×10111110111073² (a number of 27 digits) contains 22 as substring.

Together with 10111110111071, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 10111110111073.

It is not a weakly prime, because it can be changed into another prime (10111110111071) 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, 5055555055536 + 5055555055537.

It is an arithmetic number, because the mean of its divisors is an integer number (5055555055537).

Almost surely, 2^{10111110111073} is an apocalyptic number.

It is an amenable number.

10111110111073 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111110111073 is an equidigital number, since it uses as much as digits as its factorization.

10111110111073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21, while the sum is 19.

Adding to 10111110111073 its reverse (37011101111101), we get a palindrome (47122211222174).

The spelling of 10111110111073 in words is "ten trillion, one hundred eleven billion, one hundred ten million, one hundred eleven thousand, seventy-three".