100111001001017 has 8 divisors (see below), whose sum is σ = 100230187015200. Its totient is φ = 99991839556224.

The previous prime is 100111001000999. The next prime is 100111001001031. The reversal of 100111001001017 is 710100100111001.

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 100111001001017 - 2¹² = 100111000996921 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100111001000992 and 100111001001010.

It is not an unprimeable number, because it can be changed into a prime (100111001001617) 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 7 ways as a sum of consecutive naturals, for example, 2018198 + ... + 14293184.

It is an arithmetic number, because the mean of its divisors is an integer number (12528773376900).

Almost surely, 2^{100111001001017} is an apocalyptic number.

It is an amenable number.

100111001001017 is a deficient number, since it is larger than the sum of its proper divisors (119186014183).

100111001001017 is an equidigital number, since it uses as much as digits as its factorization.

100111001001017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12284695.

The product of its (nonzero) digits is 7, while the sum is 14.

Adding to 100111001001017 its reverse (710100100111001), we get a palindrome (810211101112018).

The spelling of 100111001001017 in words is "one hundred trillion, one hundred eleven billion, one million, one thousand, seventeen".