10011200212201 has 8 divisors (see below), whose sum is σ = 10148562247680. Its totient is φ = 9874104126432.

The previous prime is 10011200212037. The next prime is 10011200212207. The reversal of 10011200212201 is 10221200211001.

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 10011200212201 - 2⁹ = 10011200211689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10011200212207) 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 7 ways as a sum of consecutive naturals, for example, 66411625 + ... + 66562198.

It is an arithmetic number, because the mean of its divisors is an integer number (1268570280960).

Almost surely, 2^{10011200212201} is an apocalyptic number.

It is an amenable number.

10011200212201 is a deficient number, since it is larger than the sum of its proper divisors (137362035479).

10011200212201 is an equidigital number, since it uses as much as digits as its factorization.

10011200212201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132974855.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10011200212201 its reverse (10221200211001), we get a palindrome (20232400423202).

The spelling of 10011200212201 in words is "ten trillion, eleven billion, two hundred million, two hundred twelve thousand, two hundred one".