10111202112201 has 64 divisors (see below), whose sum is σ = 14187300126720. Its totient is φ = 6397754388480.

The previous prime is 10111202112169. The next prime is 10111202112223. The reversal of 10111202112201 is 10221120211101.

It is a happy number.

It is not a de Polignac number, because 10111202112201 - 2⁵ = 10111202112169 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10111202112241) 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 63 ways as a sum of consecutive naturals, for example, 1073485270 + ... + 1073494688.

It is an arithmetic number, because the mean of its divisors is an integer number (221676564480).

Almost surely, 2^{10111202112201} is an apocalyptic number.

It is an amenable number.

10111202112201 is a deficient number, since it is larger than the sum of its proper divisors (4076098014519).

10111202112201 is a wasteful number, since it uses less digits than its factorization.

10111202112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10614.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10111202112201 its reverse (10221120211101), we get a palindrome (20332322323302).

The spelling of 10111202112201 in words is "ten trillion, one hundred eleven billion, two hundred two million, one hundred twelve thousand, two hundred one".