100011000001 has 8 divisors (see below), whose sum is σ = 110122563744. Its totient is φ = 90069378720.

The previous prime is 100010999951. The next prime is 100011000059. The reversal of 100011000001 is 100000110001.

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 100011000001 - 2⁷ = 100010999873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100011000071) 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, 42484380 + ... + 42486733.

It is an arithmetic number, because the mean of its divisors is an integer number (13765320468).

Almost surely, 2^100011000001 is an apocalyptic number.

100011000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100011000001 is a deficient number, since it is larger than the sum of its proper divisors (10111563743).

100011000001 is a wasteful number, since it uses less digits than its factorization.

100011000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84971231.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 100011000001 its reverse (100000110001), we get a palindrome (200011110002).

Subtracting from 100011000001 its reverse (100000110001), we obtain a square (10890000 = 3300²).

It can be divided in two parts, 10001 and 1000001, that multiplied together give a palindrome (10001010001).

The spelling of 100011000001 in words is "one hundred billion, eleven million, one", and thus it is an aban number.