101516418307823 has 2 divisors, whose sum is σ = 101516418307824. Its totient is φ = 101516418307822.

The previous prime is 101516418307771. The next prime is 101516418307861. The reversal of 101516418307823 is 328703814615101.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101516418307823 - 2¹⁴ = 101516418291439 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101516418303823) 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, 50758209153911 + 50758209153912.

It is an arithmetic number, because the mean of its divisors is an integer number (50758209153912).

Almost surely, 2^{101516418307823} is an apocalyptic number.

101516418307823 is a deficient number, since it is larger than the sum of its proper divisors (1).

101516418307823 is an equidigital number, since it uses as much as digits as its factorization.

101516418307823 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 967680, while the sum is 50.

The spelling of 101516418307823 in words is "one hundred one trillion, five hundred sixteen billion, four hundred eighteen million, three hundred seven thousand, eight hundred twenty-three".