11200001122001 has 16 divisors (see below), whose sum is σ = 11390170682880. Its totient is φ = 11011500514560.

The previous prime is 11200001121973. The next prime is 11200001122003. The reversal of 11200001122001 is 10022110000211.

It is a cyclic number.

It is not a de Polignac number, because 11200001122001 - 2⁴² = 6801954610897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11200001122003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35206016 + ... + 35522718.

It is an arithmetic number, because the mean of its divisors is an integer number (711885667680).

Almost surely, 2^{11200001122001} is an apocalyptic number.

It is an amenable number.

11200001122001 is a deficient number, since it is larger than the sum of its proper divisors (190169560879).

11200001122001 is a wasteful number, since it uses less digits than its factorization.

11200001122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319336.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11200001122001 its reverse (10022110000211), we get a palindrome (21222111122212).

The spelling of 11200001122001 in words is "eleven trillion, two hundred billion, one million, one hundred twenty-two thousand, one".