11001100101096 has 128 divisors (see below), whose sum is σ = 31815585285120. Its totient is φ = 3104796716544.

The previous prime is 11001100101091. The next prime is 11001100101097. The reversal of 11001100101096 is 69010100110011.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (11001100101091) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 90198571 + ... + 90320453.

It is an arithmetic number, because the mean of its divisors is an integer number (248559260040).

Almost surely, 2^{11001100101096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11001100101096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15907792642560).

11001100101096 is an abundant number, since it is smaller than the sum of its proper divisors (20814485184024).

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

11001100101096 is a wasteful number, since it uses less digits than its factorization.

11001100101096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128455 (or 128451 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 21.

The spelling of 11001100101096 in words is "eleven trillion, one billion, one hundred million, one hundred one thousand, ninety-six".