11200002200010 has 96 divisors (see below), whose sum is σ = 31494599227728. Its totient is φ = 2745091261440.

The previous prime is 11200002199951. The next prime is 11200002200029. The reversal of 11200002200010 is 1000220000211.

It can be written as a sum of positive squares in 8 ways, for example, as 104647721049 + 11095354478961 = 323493^2 + 3330969^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 11200002199965 and 11200002200001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20269561 + ... + 20814780.

Almost surely, 2^{11200002200010} is an apocalyptic number.

11200002200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11200002200010 is an abundant number, since it is smaller than the sum of its proper divisors (20294597027718).

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

11200002200010 is a wasteful number, since it uses less digits than its factorization.

11200002200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41084600 (or 41084597 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11200002200010 its reverse (1000220000211), we get a palindrome (12200222200221).

The spelling of 11200002200010 in words is "eleven trillion, two hundred billion, two million, two hundred thousand, ten".