101111110083073 has 2 divisors, whose sum is σ = 101111110083074. Its totient is φ = 101111110083072.

The previous prime is 101111110083043. The next prime is 101111110083077. The reversal of 101111110083073 is 370380011111101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84619981983744 + 16491128099329 = 9198912^2 + 4060927^2 .

It is an emirp because it is prime and its reverse (370380011111101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101111110083073 is a prime.

It is a super-2 number, since 2×101111110083073² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101111110083077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555555041536 + 50555555041537.

It is an arithmetic number, because the mean of its divisors is an integer number (50555555041537).

Almost surely, 2^{101111110083073} is an apocalyptic number.

It is an amenable number.

101111110083073 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111110083073 is an equidigital number, since it uses as much as digits as its factorization.

101111110083073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 28.

Adding to 101111110083073 its reverse (370380011111101), we get a palindrome (471491121194174).

The spelling of 101111110083073 in words is "one hundred one trillion, one hundred eleven billion, one hundred ten million, eighty-three thousand, seventy-three".