10131122201 has 2 divisors, whose sum is σ = 10131122202. Its totient is φ = 10131122200.

The previous prime is 10131122161. The next prime is 10131122203. The reversal of 10131122201 is 10222113101.

10131122201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5345803225 + 4785318976 = 73115^2 + 69176^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10131122201 is a prime.

Together with 10131122203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10131122203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065561100 + 5065561101.

It is an arithmetic number, because the mean of its divisors is an integer number (5065561101).

Almost surely, 2^10131122201 is an apocalyptic number.

It is an amenable number.

10131122201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131122201 is an equidigital number, since it uses as much as digits as its factorization.

10131122201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10131122201 its reverse (10222113101), we get a palindrome (20353235302).

The spelling of 10131122201 in words is "ten billion, one hundred thirty-one million, one hundred twenty-two thousand, two hundred one".