101368993559089 has 3 divisors (see below), whose sum is σ = 101369003627307. Its totient is φ = 101368983490872.

The previous prime is 101368993559083. The next prime is 101368993559129. The reversal of 101368993559089 is 980955399863101.

The square root of 101368993559089 is 10068217.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 17463246999025 + 83905746560064 = 4178905^2 + 9160008^2 .

It is not a de Polignac number, because 101368993559089 - 2¹⁹ = 101368993034801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101368993559083) 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 in 2 ways as a sum of consecutive naturals, for example, 5034109 + ... + 15102325.

It is an arithmetic number, because the mean of its divisors is an integer number (33789667875769).

Almost surely, 2^{101368993559089} is an apocalyptic number.

101368993559089 is the 10068217-th square number.

101368993559089 is the 5034109-th centered octagonal number.

It is an amenable number.

101368993559089 is a deficient number, since it is larger than the sum of its proper divisors (10068218).

101368993559089 is an frugal number, since it uses more digits than its factorization.

101368993559089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20136434 (or 10068217 counting only the distinct ones).

The product of its (nonzero) digits is 566870400, while the sum is 76.

The spelling of 101368993559089 in words is "one hundred one trillion, three hundred sixty-eight billion, nine hundred ninety-three million, five hundred fifty-nine thousand, eighty-nine".