11010000101100 has 2304 divisors, whose sum is σ = 46472545566720. Its totient is φ = 1938998476800.

The previous prime is 11010000101081. The next prime is 11010000101131. The reversal of 11010000101100 is 110100001011.

11010000101100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 15144428937 + ... + 15144429663.

It is an arithmetic number, because the mean of its divisors is an integer number (20170375680).

Almost surely, 2^{11010000101100} is an apocalyptic number.

11010000101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11010000101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23236272783360).

11010000101100 is an abundant number, since it is smaller than the sum of its proper divisors (35462545465620).

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

11010000101100 is a wasteful number, since it uses less digits than its factorization.

11010000101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 881 counting only the distinct ones).

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

Adding to 11010000101100 its reverse (110100001011), we get a palindrome (11120100102111).

11010000101100 divided by its reverse (110100001011) gives a square (100 = 10²).

The spelling of 11010000101100 in words is "eleven trillion, ten billion, one hundred one thousand, one hundred".