110110101111001 has 8 divisors (see below), whose sum is σ = 111201497704008. Its totient is φ = 109018728000000.

The previous prime is 110110101110993. The next prime is 110110101111053. The reversal of 110110101111001 is 100111101011011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 80454441729600 + 29655659381401 = 8969640^2 + 5445701^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 110110101111001 - 2³ = 110110101110993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110110101121001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3630051 + ... + 15277351.

It is an arithmetic number, because the mean of its divisors is an integer number (13900187213001).

Almost surely, 2^{110110101111001} is an apocalyptic number.

It is an amenable number.

110110101111001 is a deficient number, since it is larger than the sum of its proper divisors (1091396593007).

110110101111001 is a wasteful number, since it uses less digits than its factorization.

110110101111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11741003.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 110110101111001 its reverse (100111101011011), we get a palindrome (210221202122012).

The spelling of 110110101111001 in words is "one hundred ten trillion, one hundred ten billion, one hundred one million, one hundred eleven thousand, one".