110100110010001 has 4 divisors (see below), whose sum is σ = 110100695062500. Its totient is φ = 110099524957504.

The previous prime is 110100110009977. The next prime is 110100110010029. The reversal of 110100110010001 is 100010011001011.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 30509891827776 + 79590218182225 = 5523576^2 + 8921335^2 .

It is a cyclic number.

It is not a de Polignac number, because 110100110010001 - 2⁷ = 110100110009873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110100110410001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 292243876 + ... + 292620373.

It is an arithmetic number, because the mean of its divisors is an integer number (27525173765625).

Almost surely, 2^{110100110010001} is an apocalyptic number.

It is an amenable number.

110100110010001 is a deficient number, since it is larger than the sum of its proper divisors (585052499).

110100110010001 is an equidigital number, since it uses as much as digits as its factorization.

110100110010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585052498.

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

Adding to 110100110010001 its reverse (100010011001011), we get a palindrome (210110121011012).

The spelling of 110100110010001 in words is "one hundred ten trillion, one hundred billion, one hundred ten million, ten thousand, one".