100111010110001 has 32 divisors (see below), whose sum is σ = 112620286884096. Its totient is φ = 88225822080000.

The previous prime is 100111010109997. The next prime is 100111010110009. The reversal of 100111010110001 is 100011010111001.

It is not a de Polignac number, because 100111010110001 - 2² = 100111010109997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100111010110009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6606116 + ... + 15616106.

It is an arithmetic number, because the mean of its divisors is an integer number (3519383965128).

Almost surely, 2^{100111010110001} is an apocalyptic number.

100111010110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100111010110001 is a deficient number, since it is larger than the sum of its proper divisors (12509276774095).

100111010110001 is a wasteful number, since it uses less digits than its factorization.

100111010110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9010313.

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

Adding to 100111010110001 its reverse (100011010111001), we get a palindrome (200122020221002).

It can be divided in two parts, 1001110 and 10110001, that added together give a palindrome (11111111).

The spelling of 100111010110001 in words is "one hundred trillion, one hundred eleven billion, ten million, one hundred ten thousand, one".