100001001100111 has 16 divisors (see below), whose sum is σ = 100219492676160. Its totient is φ = 99782710030080.

The previous prime is 100001001100109. The next prime is 100001001100159. The reversal of 100001001100111 is 111001100100001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100001001100111 - 2¹ = 100001001100109 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100001001100094 and 100001001100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001001110111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16466488171 + ... + 16466494243.

It is an arithmetic number, because the mean of its divisors is an integer number (6263718292260).

Almost surely, 2^{100001001100111} is an apocalyptic number.

100001001100111 is a deficient number, since it is larger than the sum of its proper divisors (218491576049).

100001001100111 is an equidigital number, since it uses as much as digits as its factorization.

100001001100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17106.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100001001100111 its reverse (111001100100001), we get a palindrome (211002101200112).

The spelling of 100001001100111 in words is "one hundred trillion, one billion, one million, one hundred thousand, one hundred eleven".