100011010011001 has 16 divisors (see below), whose sum is σ = 104717214564480. Its totient is φ = 95334641205760.

The previous prime is 100011010010993. The next prime is 100011010011041. The reversal of 100011010011001 is 100110010110001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100011010011001 - 2³ = 100011010010993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100011010011041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 757943490 + ... + 758075428.

It is an arithmetic number, because the mean of its divisors is an integer number (6544825910280).

Almost surely, 2^{100011010011001} is an apocalyptic number.

It is an amenable number.

100011010011001 is a deficient number, since it is larger than the sum of its proper divisors (4706204553479).

100011010011001 is a wasteful number, since it uses less digits than its factorization.

100011010011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244736.

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

Adding to 100011010011001 its reverse (100110010110001), we get a palindrome (200121020121002).

The spelling of 100011010011001 in words is "one hundred trillion, eleven billion, ten million, eleven thousand, one".