11011000110101 has 12 divisors (see below), whose sum is σ = 11404034018052. Its totient is φ = 10631075986944.

The previous prime is 11011000110067. The next prime is 11011000110113. The reversal of 11011000110101 is 10101100011011.

It can be written as a sum of positive squares in 6 ways, for example, as 1496643943876 + 9514356166225 = 1223374^2 + 3084535^2 .

It is not a de Polignac number, because 11011000110101 - 2¹⁸ = 11010999847957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011000110151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47259845 + ... + 47492261.

It is an arithmetic number, because the mean of its divisors is an integer number (950336168171).

Almost surely, 2^{11011000110101} is an apocalyptic number.

It is an amenable number.

11011000110101 is a deficient number, since it is larger than the sum of its proper divisors (393033907951).

11011000110101 is an equidigital number, since it uses as much as digits as its factorization.

11011000110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288808 (or 288779 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 11011000110101 its reverse (10101100011011), we get a palindrome (21112100121112).

It can be divided in two parts, 1101100011010 and 1, that added together give a palindrome (1101100011011).

The spelling of 11011000110101 in words is "eleven trillion, eleven billion, one hundred ten thousand, one hundred one".