110101101101011 has 16 divisors (see below), whose sum is σ = 118324821298464. Its totient is φ = 102071701315584.

The previous prime is 110101101100993. The next prime is 110101101101027.

It is a happy number.

110101101101011 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 110101101101011 - 2²⁵ = 110101067546579 is a prime.

110101101101011 is a strobogrammatic number because it is the same when read upside-down.

It is not an unprimeable number, because it can be changed into a prime (110101101102011) 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, 15776011 + ... + 21658363.

It is an arithmetic number, because the mean of its divisors is an integer number (7395301331154).

Almost surely, 2^{110101101101011} is an apocalyptic number.

110101101101011 is a deficient number, since it is larger than the sum of its proper divisors (8223720197453).

110101101101011 is a wasteful number, since it uses less digits than its factorization.

110101101101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5898870.

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

It can be divided in two parts, 11010110 and 1101011, that added together give a palindrome (12111121).

The spelling of 110101101101011 in words is "one hundred ten trillion, one hundred one billion, one hundred one million, one hundred one thousand, eleven".