11102200011200 has 84 divisors (see below), whose sum is σ = 27327727612152. Its totient is φ = 4439355724800.

The previous prime is 11102200011197. The next prime is 11102200011251. The reversal of 11102200011200 is 211000220111.

It is a super-3 number, since 3×11102200011200³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

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, 3477815 + ... + 5856585.

Almost surely, 2^{11102200011200} is an apocalyptic number.

11102200011200 is a gapful number since it is divisible by the number (10) 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 11102200011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13663863806076).

11102200011200 is an abundant number, since it is smaller than the sum of its proper divisors (16225527600952).

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

11102200011200 is a wasteful number, since it uses less digits than its factorization.

11102200011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2381710 (or 2381695 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11102200011200 its reverse (211000220111), we get a palindrome (11313200231311).

The spelling of 11102200011200 in words is "eleven trillion, one hundred two billion, two hundred million, eleven thousand, two hundred".