100000110001 has 4 divisors (see below), whose sum is σ = 109091029104. Its totient is φ = 90909190900.

The previous prime is 100000109971. The next prime is 100000110011. The reversal of 100000110001 is 100011000001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 100000110001 - 2¹¹ = 100000107953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100000110011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4545459535 + ... + 4545459556.

It is an arithmetic number, because the mean of its divisors is an integer number (27272757276).

Almost surely, 2^100000110001 is an apocalyptic number.

100000110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100000110001 is a deficient number, since it is larger than the sum of its proper divisors (9090919103).

100000110001 is an equidigital number, since it uses as much as digits as its factorization.

100000110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9090919102.

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

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

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

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

The spelling of 100000110001 in words is "one hundred billion, one hundred ten thousand, one".