11102011101100 has 36 divisors (see below), whose sum is σ = 24213655320624. Its totient is φ = 4418262278080.

The previous prime is 11102011101059. The next prime is 11102011101109. The reversal of 11102011101100 is 110111020111.

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

It is not an unprimeable number, because it can be changed into a prime (11102011101109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281757232 + ... + 281796631.

It is an arithmetic number, because the mean of its divisors is an integer number (672601536684).

Almost surely, 2^{11102011101100} is an apocalyptic number.

11102011101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11102011101100 is an abundant number, since it is smaller than the sum of its proper divisors (13111644219524).

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

11102011101100 is a wasteful number, since it uses less digits than its factorization.

11102011101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563554074 (or 563554067 counting only the distinct ones).

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

Adding to 11102011101100 its reverse (110111020111), we get a palindrome (11212122121211).

The spelling of 11102011101100 in words is "eleven trillion, one hundred two billion, eleven million, one hundred one thousand, one hundred".