10072558201 has 2 divisors, whose sum is σ = 10072558202. Its totient is φ = 10072558200.

The previous prime is 10072558193. The next prime is 10072558213. The reversal of 10072558201 is 10285527001.

10072558201 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., 6829369600 + 3243188601 = 82640^2 + 56949^2 .

It is a cyclic number.

It is not a de Polignac number, because 10072558201 - 2³ = 10072558193 is a prime.

It is not a weakly prime, because it can be changed into another prime (10072558231) 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, 5036279100 + 5036279101.

It is an arithmetic number, because the mean of its divisors is an integer number (5036279101).

Almost surely, 2^10072558201 is an apocalyptic number.

It is an amenable number.

10072558201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10072558201 is an equidigital number, since it uses as much as digits as its factorization.

10072558201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5600, while the sum is 31.

The spelling of 10072558201 in words is "ten billion, seventy-two million, five hundred fifty-eight thousand, two hundred one".