11200000000001 has 8 divisors (see below), whose sum is σ = 11412006074280. Its totient is φ = 10988019308032.

The previous prime is 11199999999959. The next prime is 11200000000003. The reversal of 11200000000001 is 10000000000211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6931846465600 + 4268153534401 = 2632840^2 + 2065951^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11200000000001 - 2¹⁰ = 11199999998977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11200000000003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5453546 + ... + 7220883.

It is an arithmetic number, because the mean of its divisors is an integer number (1426500759285).

Almost surely, 2^{11200000000001} is an apocalyptic number.

It is an amenable number.

11200000000001 is a deficient number, since it is larger than the sum of its proper divisors (212006074279).

11200000000001 is a wasteful number, since it uses less digits than its factorization.

11200000000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12691155.

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

Adding to 11200000000001 its reverse (10000000000211), we get a palindrome (21200000000212).

The spelling of 11200000000001 in words is "eleven trillion, two hundred billion, one", and thus it is an aban number.