11102101001100 has 108 divisors (see below), whose sum is σ = 34836060104664. Its totient is φ = 2957400426240.

The previous prime is 11102101001027. The next prime is 11102101001111. The reversal of 11102101001100 is 110010120111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5739234 + ... + 7425833.

Almost surely, 2^{11102101001100} is an apocalyptic number.

11102101001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11102101001100 is an abundant number, since it is smaller than the sum of its proper divisors (23733959103564).

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

11102101001100 is a wasteful number, since it uses less digits than its factorization.

11102101001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13166024 (or 13166014 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11102101001100 its reverse (110010120111), we get a palindrome (11212111121211).

The spelling of 11102101001100 in words is "eleven trillion, one hundred two billion, one hundred one million, one thousand, one hundred".