100711107007 has 32 divisors (see below), whose sum is σ = 119189790720. Its totient is φ = 83296356480.

The previous prime is 100711106891. The next prime is 100711107019. The reversal of 100711107007 is 700701117001.

It is a cyclic number.

It is not a de Polignac number, because 100711107007 - 2⁷ = 100711106879 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100711107037) 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 31 ways as a sum of consecutive naturals, for example, 20715757 + ... + 20720617.

It is an arithmetic number, because the mean of its divisors is an integer number (3724680960).

Almost surely, 2^100711107007 is an apocalyptic number.

100711107007 is a deficient number, since it is larger than the sum of its proper divisors (18478683713).

100711107007 is a wasteful number, since it uses less digits than its factorization.

100711107007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5551.

The product of its (nonzero) digits is 343, while the sum is 25.

The spelling of 100711107007 in words is "one hundred billion, seven hundred eleven million, one hundred seven thousand, seven".