101516883467773 has 2 divisors, whose sum is σ = 101516883467774. Its totient is φ = 101516883467772.

The previous prime is 101516883467767. The next prime is 101516883467821. The reversal of 101516883467773 is 377764388615101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94825488914244 + 6691394553529 = 9737838^2 + 2586773^2 .

It is an emirp because it is prime and its reverse (377764388615101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101516883467773 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101516883467699 and 101516883467708.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101516883467473) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50758441733886 + 50758441733887.

It is an arithmetic number, because the mean of its divisors is an integer number (50758441733887).

Almost surely, 2^{101516883467773} is an apocalyptic number.

It is an amenable number.

101516883467773 is a deficient number, since it is larger than the sum of its proper divisors (1).

101516883467773 is an equidigital number, since it uses as much as digits as its factorization.

101516883467773 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 142248960, while the sum is 67.

The spelling of 101516883467773 in words is "one hundred one trillion, five hundred sixteen billion, eight hundred eighty-three million, four hundred sixty-seven thousand, seven hundred seventy-three".