100011006006117 has 32 divisors (see below), whose sum is σ = 144454975575552. Its totient is φ = 61306590280704.

The previous prime is 100011006005983. The next prime is 100011006006143. The reversal of 100011006006117 is 711600600110001.

It is not a de Polignac number, because 100011006006117 - 2⁸ = 100011006005861 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011006007117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36118558 + ... + 38788815.

It is an arithmetic number, because the mean of its divisors is an integer number (4514217986736).

Almost surely, 2^{100011006006117} is an apocalyptic number.

100011006006117 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

100011006006117 is a deficient number, since it is larger than the sum of its proper divisors (44443969569435).

100011006006117 is a wasteful number, since it uses less digits than its factorization.

100011006006117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74907997.

The product of its (nonzero) digits is 252, while the sum is 24.

Adding to 100011006006117 its reverse (711600600110001), we get a palindrome (811611606116118).

The spelling of 100011006006117 in words is "one hundred trillion, eleven billion, six million, six thousand, one hundred seventeen".