201200210113 has 6 divisors (see below), whose sum is σ = 234049224066. Its totient is φ = 172457322912.

The previous prime is 201200210093. The next prime is 201200210147. The reversal of 201200210113 is 311012002102.

201200210113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 167025881344 + 34174328769 = 408688^2 + 184863^2 .

It is a de Polignac number, because none of the positive numbers 2^k-201200210113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201200210093 and 201200210102.

It is not an unprimeable number, because it can be changed into a prime (201200210153) 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 5 ways as a sum of consecutive naturals, for example, 2053063320 + ... + 2053063417.

It is an arithmetic number, because the mean of its divisors is an integer number (39008204011).

Almost surely, 2^201200210113 is an apocalyptic number.

It is an amenable number.

201200210113 is a deficient number, since it is larger than the sum of its proper divisors (32849013953).

201200210113 is an equidigital number, since it uses as much as digits as its factorization.

201200210113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4106126751 (or 4106126744 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 201200210113 its reverse (311012002102), we get a palindrome (512212212215).

The spelling of 201200210113 in words is "two hundred one billion, two hundred million, two hundred ten thousand, one hundred thirteen".