100011100111001 has 4 divisors (see below), whose sum is σ = 100021022841600. Its totient is φ = 100001177380404.

The previous prime is 100011100110997. The next prime is 100011100111003. The reversal of 100011100111001 is 100111001110001.

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 a cyclic number.

It is not a de Polignac number, because 100011100111001 - 2² = 100011100110997 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 100011100111001.

It is not an unprimeable number, because it can be changed into a prime (100011100111003) 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, 4961350181 + ... + 4961370338.

It is an arithmetic number, because the mean of its divisors is an integer number (25005255710400).

Almost surely, 2^{100011100111001} is an apocalyptic number.

It is an amenable number.

100011100111001 is a deficient number, since it is larger than the sum of its proper divisors (9922730599).

100011100111001 is an equidigital number, since it uses as much as digits as its factorization.

100011100111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9922730598.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100011100111001 its reverse (100111001110001), we get a palindrome (200122101221002).

The spelling of 100011100111001 in words is "one hundred trillion, eleven billion, one hundred million, one hundred eleven thousand, one".