110000110101 has 64 divisors (see below), whose sum is σ = 179124142080. Its totient is φ = 58649702400.

The previous prime is 110000110097. The next prime is 110000110117. The reversal of 110000110101 is 101011000011.

It is not a de Polignac number, because 110000110101 - 2² = 110000110097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110000110101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110000110301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7770636 + ... + 7784778.

It is an arithmetic number, because the mean of its divisors is an integer number (2798814720).

Almost surely, 2^110000110101 is an apocalyptic number.

It is an amenable number.

110000110101 is a deficient number, since it is larger than the sum of its proper divisors (69124031979).

110000110101 is a wasteful number, since it uses less digits than its factorization.

110000110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14466.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 110000110101 its reverse (101011000011), we get a palindrome (211011110112).

The spelling of 110000110101 in words is "one hundred ten billion, one hundred ten thousand, one hundred one".