10011200200011 has 32 divisors (see below), whose sum is σ = 14967651767040. Its totient is φ = 6613099200000.

The previous prime is 10011200200009. The next prime is 10011200200033. The reversal of 10011200200011 is 11000200211001.

It is a happy number.

It is not a de Polignac number, because 10011200200011 - 2¹ = 10011200200009 is a prime.

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 = 10011200199966 and 10011200200002.

It is not an unprimeable number, because it can be changed into a prime (10011200200081) 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 31 ways as a sum of consecutive naturals, for example, 2519065 + ... + 5134986.

It is an arithmetic number, because the mean of its divisors is an integer number (467739117720).

Almost surely, 2^{10011200200011} is an apocalyptic number.

10011200200011 is a deficient number, since it is larger than the sum of its proper divisors (4956451567029).

10011200200011 is a wasteful number, since it uses less digits than its factorization.

10011200200011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7654504 (or 7654498 counting only the distinct ones).

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

Adding to 10011200200011 its reverse (11000200211001), we get a palindrome (21011400411012).

The spelling of 10011200200011 in words is "ten trillion, eleven billion, two hundred million, two hundred thousand, eleven".