110110101011001 has 96 divisors (see below), whose sum is σ = 212867859230208. Its totient is φ = 53186185267200.

The previous prime is 110110101010913. The next prime is 110110101011039. The reversal of 110110101011001 is 100110101011011.

It is not a de Polignac number, because 110110101011001 - 2⁷ = 110110101010873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (110110101011041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106356525 + ... + 107386826.

It is an arithmetic number, because the mean of its divisors is an integer number (2217373533648).

Almost surely, 2^{110110101011001} is an apocalyptic number.

It is an amenable number.

110110101011001 is a deficient number, since it is larger than the sum of its proper divisors (102757758219207).

110110101011001 is a wasteful number, since it uses less digits than its factorization.

110110101011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213743431 (or 213743428 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 110110101011001 its reverse (100110101011011), we get a palindrome (210220202022012).

The spelling of 110110101011001 in words is "one hundred ten trillion, one hundred ten billion, one hundred one million, eleven thousand, one".