11102000000 has 448 divisors, whose sum is σ = 34583932320. Its totient is φ = 3456000000.

The previous prime is 11101999981. The next prime is 11102000009. The reversal of 11102000000 is 20111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102000009) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 181999970 + ... + 182000030.

Almost surely, 2^11102000000 is an apocalyptic number.

11102000000 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 11102000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17291966160).

11102000000 is an abundant number, since it is smaller than the sum of its proper divisors (23481932320).

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

11102000000 is an frugal number, since it uses more digits than its factorization.

11102000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 11102000000 its reverse (20111), we get a palindrome (11102020111).

The spelling of 11102000000 in words is "eleven billion, one hundred two million", and thus it is an aban number.