11000220110000 has 300 divisors, whose sum is σ = 30218307696192. Its totient is φ = 3871032000000.

The previous prime is 11000220109997. The next prime is 11000220110003. The reversal of 11000220110000 is 1102200011.

It is an interprime number because it is at equal distance from previous prime (11000220109997) and next prime (11000220110003).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 11000220110000.

It is not an unprimeable number, because it can be changed into a prime (11000220110003) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 37363370 + ... + 37656630.

Almost surely, 2^{11000220110000} is an apocalyptic number.

11000220110000 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 11000220110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15109153848096).

11000220110000 is an abundant number, since it is smaller than the sum of its proper divisors (19218087586192).

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

11000220110000 is a wasteful number, since it uses less digits than its factorization.

11000220110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293342 (or 293310 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11000220110000 its reverse (1102200011), we get a palindrome (11001322310011).

The spelling of 11000220110000 in words is "eleven trillion, two hundred twenty million, one hundred ten thousand".