100011111111001 has 8 divisors (see below), whose sum is σ = 101001526734024. Its totient is φ = 99020699539200.

The previous prime is 100011111110993. The next prime is 100011111111029. The reversal of 100011111111001 is 100111111110001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 23301628134976 + 76709482976025 = 4827176^2 + 8758395^2 .

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 100011111111001 - 2³ = 100011111110993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100011111111071) 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, 82667601 + ... + 83868673.

It is an arithmetic number, because the mean of its divisors is an integer number (12625190841753).

Almost surely, 2^{100011111111001} is an apocalyptic number.

It is an amenable number.

100011111111001 is a deficient number, since it is larger than the sum of its proper divisors (990415623023).

100011111111001 is a wasteful number, since it uses less digits than its factorization.

100011111111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025611.

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

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

The spelling of 100011111111001 in words is "one hundred trillion, eleven billion, one hundred eleven million, one hundred eleven thousand, one".