100111000110001 has 32 divisors (see below), whose sum is σ = 104259060576000. Its totient is φ = 96011081225472.

The previous prime is 100111000109933. The next prime is 100111000110007. The reversal of 100111000110001 is 100011000111001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100111000110001 - 2²³ = 100110991721393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100111000110007) 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, 10004092140 + ... + 10004102146.

It is an arithmetic number, because the mean of its divisors is an integer number (3258095643000).

Almost surely, 2^{100111000110001} is an apocalyptic number.

It is an amenable number.

100111000110001 is a deficient number, since it is larger than the sum of its proper divisors (4148060465999).

100111000110001 is a wasteful number, since it uses less digits than its factorization.

100111000110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12921.

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

Adding to 100111000110001 its reverse (100011000111001), we get a palindrome (200122000221002).

The spelling of 100111000110001 in words is "one hundred trillion, one hundred eleven billion, one hundred ten thousand, one".