100501006116585 has 64 divisors (see below), whose sum is σ = 170618140753920. Its totient is φ = 50373565320960.

The previous prime is 100501006116569. The next prime is 100501006116677. The reversal of 100501006116585 is 585611600105001.

It is not a de Polignac number, because 100501006116585 - 2⁴ = 100501006116569 is a prime.

It is a super-3 number, since 3×100501006116585³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 309051375 + ... + 309376395.

It is an arithmetic number, because the mean of its divisors is an integer number (2665908449280).

Almost surely, 2^{100501006116585} is an apocalyptic number.

100501006116585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100501006116585 is a deficient number, since it is larger than the sum of its proper divisors (70117134637335).

100501006116585 is a wasteful number, since it uses less digits than its factorization.

100501006116585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333718.

The product of its (nonzero) digits is 36000, while the sum is 39.

The spelling of 100501006116585 in words is "one hundred trillion, five hundred one billion, six million, one hundred sixteen thousand, five hundred eighty-five".