200113122310261 has 2 divisors, whose sum is σ = 200113122310262. Its totient is φ = 200113122310260.

The previous prime is 200113122310259. The next prime is 200113122310289. The reversal of 200113122310261 is 162013221311002.

200113122310261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 178068500981361 + 22044621328900 = 13344231^2 + 4695170^2 .

It is a cyclic number.

It is not a de Polignac number, because 200113122310261 - 2¹ = 200113122310259 is a prime.

It is a super-2 number, since 2×200113122310261² (a number of 29 digits) contains 22 as substring.

Together with 200113122310259, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200113122310561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100056561155130 + 100056561155131.

It is an arithmetic number, because the mean of its divisors is an integer number (100056561155131).

Almost surely, 2^{200113122310261} is an apocalyptic number.

It is an amenable number.

200113122310261 is a deficient number, since it is larger than the sum of its proper divisors (1).

200113122310261 is an equidigital number, since it uses as much as digits as its factorization.

200113122310261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 200113122310261 its reverse (162013221311002), we get a palindrome (362126343621263).

The spelling of 200113122310261 in words is "two hundred trillion, one hundred thirteen billion, one hundred twenty-two million, three hundred ten thousand, two hundred sixty-one".