11001101001100 has 72 divisors (see below), whose sum is σ = 28887597012960. Its totient is φ = 3549935109120.

The previous prime is 11001101001091. The next prime is 11001101001119. The reversal of 11001101001100 is 110010110011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 462219235 + ... + 462243034.

It is an arithmetic number, because the mean of its divisors is an integer number (401216625180).

Almost surely, 2^{11001101001100} is an apocalyptic number.

11001101001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001101001100 is an abundant number, since it is smaller than the sum of its proper divisors (17886496011860).

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

11001101001100 is a wasteful number, since it uses less digits than its factorization.

11001101001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924462307 (or 924462300 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 11001101001100 its reverse (110010110011), we get a palindrome (11111111111111).

The spelling of 11001101001100 in words is "eleven trillion, one billion, one hundred one million, one thousand, one hundred".