100011100011001 has 8 divisors (see below), whose sum is σ = 103518576057600. Its totient is φ = 96507545126160.

The previous prime is 100011100010933. The next prime is 100011100011019. The reversal of 100011100011001 is 100110001110001.

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 100011100011001 - 2⁹ = 100011100010489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100011100011071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 980238535 + ... + 980340556.

It is an arithmetic number, because the mean of its divisors is an integer number (12939822007200).

Almost surely, 2^{100011100011001} is an apocalyptic number.

It is an amenable number.

100011100011001 is a deficient number, since it is larger than the sum of its proper divisors (3507476046599).

100011100011001 is a wasteful number, since it uses less digits than its factorization.

100011100011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960580879.

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

Adding to 100011100011001 its reverse (100110001110001), we get a palindrome (200121101121002).

It can be divided in two parts, 10001110001 and 1001, that multiplied together give a palindrome (10011111111001).

The spelling of 100011100011001 in words is "one hundred trillion, eleven billion, one hundred million, eleven thousand, one".