11001101220096 has 288 divisors, whose sum is σ = 31980151902720. Its totient is φ = 3336892416000.

The previous prime is 11001101220089. The next prime is 11001101220113. The reversal of 11001101220096 is 69002210110011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 521343946 + ... + 521365046.

Almost surely, 2^{11001101220096} is an apocalyptic number.

11001101220096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11001101220096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15990075951360).

11001101220096 is an abundant number, since it is smaller than the sum of its proper divisors (20979050682624).

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

11001101220096 is a wasteful number, since it uses less digits than its factorization.

11001101220096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21873 (or 21859 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 24.

The spelling of 11001101220096 in words is "eleven trillion, one billion, one hundred one million, two hundred twenty thousand, ninety-six".