100011111001 has 8 divisors (see below), whose sum is σ = 104050171904. Its totient is φ = 96022856160.

The previous prime is 100011110989. The next prime is 100011111047. The reversal of 100011111001 is 100111110001.

It is a happy number.

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 100011111001 - 2⁹ = 100011110489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100011112001) 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, 12697500 + ... + 12705373.

It is an arithmetic number, because the mean of its divisors is an integer number (13006271488).

Almost surely, 2^100011111001 is an apocalyptic number.

It is an amenable number.

100011111001 is a deficient number, since it is larger than the sum of its proper divisors (4039060903).

100011111001 is a wasteful number, since it uses less digits than its factorization.

100011111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25403031.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100011111001 its reverse (100111110001), we get a palindrome (200122221002).

The spelling of 100011111001 in words is "one hundred billion, eleven million, one hundred eleven thousand, one".