128505122201 has 2 divisors, whose sum is σ = 128505122202. Its totient is φ = 128505122200.

The previous prime is 128505122197. The next prime is 128505122209. The reversal of 128505122201 is 102221505821.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 124125859225 + 4379262976 = 352315^2 + 66176^2 .

It is a cyclic number.

It is not a de Polignac number, because 128505122201 - 2² = 128505122197 is a prime.

It is not a weakly prime, because it can be changed into another prime (128505122209) 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, 64252561100 + 64252561101.

It is an arithmetic number, because the mean of its divisors is an integer number (64252561101).

Almost surely, 2^128505122201 is an apocalyptic number.

It is an amenable number.

128505122201 is a deficient number, since it is larger than the sum of its proper divisors (1).

128505122201 is an equidigital number, since it uses as much as digits as its factorization.

128505122201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3200, while the sum is 29.

The spelling of 128505122201 in words is "one hundred twenty-eight billion, five hundred five million, one hundred twenty-two thousand, two hundred one".