110100110100001 has 12 divisors (see below), whose sum is σ = 129319091084352. Its totient is φ = 93455294560488.

The previous prime is 110100110099989. The next prime is 110100110100011. The reversal of 110100110100001 is 100001011001011.

It is a happy number.

It is not a de Polignac number, because 110100110100001 - 2²³ = 110100101711393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110100110100011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10907475645 + ... + 10907485738.

It is an arithmetic number, because the mean of its divisors is an integer number (10776590923696).

Almost surely, 2^{110100110100001} is an apocalyptic number.

It is an amenable number.

110100110100001 is a deficient number, since it is larger than the sum of its proper divisors (19218980984351).

110100110100001 is a wasteful number, since it uses less digits than its factorization.

110100110100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21814961500 (or 21814961493 counting only the distinct ones).

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

Adding to 110100110100001 its reverse (100001011001011), we get a palindrome (210101121101012).

The spelling of 110100110100001 in words is "one hundred ten trillion, one hundred billion, one hundred ten million, one hundred thousand, one".