110110000101001 has 16 divisors (see below), whose sum is σ = 115298174331648. Its totient is φ = 105054200035200.

The previous prime is 110110000100993. The next prime is 110110000101029. The reversal of 110110000101001 is 100101000011011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 110110000101001 - 2³ = 110110000100993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110110000101301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81860385 + ... + 83194606.

It is an arithmetic number, because the mean of its divisors is an integer number (7206135895728).

Almost surely, 2^{110110000101001} is an apocalyptic number.

It is an amenable number.

110110000101001 is a deficient number, since it is larger than the sum of its proper divisors (5188174230647).

110110000101001 is a wasteful number, since it uses less digits than its factorization.

110110000101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165055392.

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

Adding to 110110000101001 its reverse (100101000011011), we get a palindrome (210211000112012).

The spelling of 110110000101001 in words is "one hundred ten trillion, one hundred ten billion, one hundred one thousand, one".