10111101111073 has 2 divisors, whose sum is σ = 10111101111074. Its totient is φ = 10111101111072.

The previous prime is 10111101111019. The next prime is 10111101111103. The reversal of 10111101111073 is 37011110111101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9099079195024 + 1012021916049 = 3016468^2 + 1005993^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10111101111073 is a prime.

It is a super-2 number, since 2×10111101111073² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10111101111073.

It is not a weakly prime, because it can be changed into another prime (10111107111073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055550555536 + 5055550555537.

It is an arithmetic number, because the mean of its divisors is an integer number (5055550555537).

Almost surely, 2^{10111101111073} is an apocalyptic number.

It is an amenable number.

10111101111073 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111101111073 is an equidigital number, since it uses as much as digits as its factorization.

10111101111073 is an evil number, because the sum of its binary digits is even.

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

Adding to 10111101111073 its reverse (37011110111101), we get a palindrome (47122211222174).

The spelling of 10111101111073 in words is "ten trillion, one hundred eleven billion, one hundred one million, one hundred eleven thousand, seventy-three".