101584231201 has 2 divisors, whose sum is σ = 101584231202. Its totient is φ = 101584231200.

The previous prime is 101584231159. The next prime is 101584231207. The reversal of 101584231201 is 102132485101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91068754176 + 10515477025 = 301776^2 + 102545^2 .

It is a cyclic number.

It is not a de Polignac number, because 101584231201 - 2⁹ = 101584230689 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101584231201.

It is not a weakly prime, because it can be changed into another prime (101584231207) 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 as a sum of consecutive naturals, namely, 50792115600 + 50792115601.

It is an arithmetic number, because the mean of its divisors is an integer number (50792115601).

Almost surely, 2^101584231201 is an apocalyptic number.

It is an amenable number.

101584231201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101584231201 is an equidigital number, since it uses as much as digits as its factorization.

101584231201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 28.

The spelling of 101584231201 in words is "one hundred one billion, five hundred eighty-four million, two hundred thirty-one thousand, two hundred one".