11010000110100 has 144 divisors (see below), whose sum is σ = 33821370793728. Its totient is φ = 2755764264960.

The previous prime is 11010000110093. The next prime is 11010000110147. The reversal of 11010000110100 is 101100001011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1069477 + ... + 4812876.

It is an arithmetic number, because the mean of its divisors is an integer number (234870630512).

Almost surely, 2^{11010000110100} is an apocalyptic number.

11010000110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11010000110100 is an abundant number, since it is smaller than the sum of its proper divisors (22811370683628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11010000110100 is a wasteful number, since it uses less digits than its factorization.

11010000110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882754 (or 5882747 counting only the distinct ones).

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

Adding to 11010000110100 its reverse (101100001011), we get a palindrome (11111100111111).

It can be divided in two parts, 11010000 and 110100, that multiplied together give a square (1212201000000 = 1101000²).

The spelling of 11010000110100 in words is "eleven trillion, ten billion, one hundred ten thousand, one hundred".