11200012110 has 192 divisors, whose sum is σ = 34910134272. Its totient is φ = 2437579008.

The previous prime is 11200012093. The next prime is 11200012111. The reversal of 11200012110 is 1121000211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11200012092 and 11200012101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200012111) 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 95 ways as a sum of consecutive naturals, for example, 1090459 + ... + 1100681.

It is an arithmetic number, because the mean of its divisors is an integer number (181823616).

Almost surely, 2^11200012110 is an apocalyptic number.

11200012110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11200012110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17455067136).

11200012110 is an abundant number, since it is smaller than the sum of its proper divisors (23710122162).

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

11200012110 is a wasteful number, since it uses less digits than its factorization.

11200012110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10327 (or 10324 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11200012110 its reverse (1121000211), we get a palindrome (12321012321).

The spelling of 11200012110 in words is "eleven billion, two hundred million, twelve thousand, one hundred ten".