100111111110001 has 8 divisors (see below), whose sum is σ = 101138534918208. Its totient is φ = 99084397590000.

The previous prime is 100111111109959. The next prime is 100111111110011. The reversal of 100111111110001 is 100011111111001.

It is a happy number.

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 100111111110001 - 2²⁷ = 100110976892273 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100111111110001.

It is not an unprimeable number, because it can be changed into a prime (100111111110011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177288715 + ... + 177852496.

It is an arithmetic number, because the mean of its divisors is an integer number (12642316864776).

Almost surely, 2^{100111111110001} is an apocalyptic number.

It is an amenable number.

100111111110001 is a deficient number, since it is larger than the sum of its proper divisors (1027423808207).

100111111110001 is a wasteful number, since it uses less digits than its factorization.

100111111110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355144103.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 100111111110001 its reverse (100011111111001), we get a palindrome (200122222221002).

It can be divided in two parts, 10011111111000 and 1, that added together give a palindrome (10011111111001).

The spelling of 100111111110001 in words is "one hundred trillion, one hundred eleven billion, one hundred eleven million, one hundred ten thousand, one".