11001112101100 has 36 divisors (see below), whose sum is σ = 26042632649208. Its totient is φ = 4000404400000.

The previous prime is 11001112101061. The next prime is 11001112101143. The reversal of 11001112101100 is 110121110011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5000504401 + ... + 5000506600.

It is an arithmetic number, because the mean of its divisors is an integer number (723406462478).

Almost surely, 2^{11001112101100} is an apocalyptic number.

11001112101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001112101100 is an abundant number, since it is smaller than the sum of its proper divisors (15041520548108).

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

11001112101100 is a wasteful number, since it uses less digits than its factorization.

11001112101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10001011026 (or 10001011019 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 11001112101100 its reverse (110121110011), we get a palindrome (11111233211111).

The spelling of 11001112101100 in words is "eleven trillion, one billion, one hundred twelve million, one hundred one thousand, one hundred".