100111100001 has 8 divisors (see below), whose sum is σ = 145616145504. Its totient is φ = 60673393920.

The previous prime is 100111099969. The next prime is 100111100009. The reversal of 100111100001 is 100001111001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100111100001 - 2⁵ = 100111099969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100111100009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1516834816 + ... + 1516834881.

It is an arithmetic number, because the mean of its divisors is an integer number (18202018188).

Almost surely, 2^100111100001 is an apocalyptic number.

100111100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100111100001 is a deficient number, since it is larger than the sum of its proper divisors (45505045503).

100111100001 is a wasteful number, since it uses less digits than its factorization.

100111100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033669711.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100111100001 its reverse (100001111001), we get a palindrome (200112211002).

The spelling of 100111100001 in words is "one hundred billion, one hundred eleven million, one hundred thousand, one".