100110101017 has 8 divisors (see below), whose sum is σ = 101821465152. Its totient is φ = 98401002000.

The previous prime is 100110101011. The next prime is 100110101027. The reversal of 100110101017 is 710101011001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100110101017 - 2²³ = 100101712409 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100110100988 and 100110101006.

It is not an unprimeable number, because it can be changed into a prime (100110101011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 477013 + ... + 654034.

It is an arithmetic number, because the mean of its divisors is an integer number (12727683144).

Almost surely, 2^100110101017 is an apocalyptic number.

It is an amenable number.

100110101017 is a deficient number, since it is larger than the sum of its proper divisors (1711364135).

100110101017 is a wasteful number, since it uses less digits than its factorization.

100110101017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132559.

The product of its (nonzero) digits is 7, while the sum is 13.

Adding to 100110101017 its reverse (710101011001), we get a palindrome (810211112018).

The spelling of 100110101017 in words is "one hundred billion, one hundred ten million, one hundred one thousand, seventeen".