11000010101100 has 144 divisors (see below), whose sum is σ = 33010512671136. Its totient is φ = 2825798400000.

The previous prime is 11000010101051. The next prime is 11000010101117. The reversal of 11000010101100 is 110101000011.

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 47 ways as a sum of consecutive naturals, for example, 3784801 + ... + 6027000.

Almost surely, 2^{11000010101100} is an apocalyptic number.

11000010101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000010101100 is an abundant number, since it is smaller than the sum of its proper divisors (22010502570036).

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

11000010101100 is a wasteful number, since it uses less digits than its factorization.

11000010101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9811956 (or 9811949 counting only the distinct ones).

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

Adding to 11000010101100 its reverse (110101000011), we get a palindrome (11110111101111).

The spelling of 11000010101100 in words is "eleven trillion, ten million, one hundred one thousand, one hundred".