101605201 has 2 divisors, whose sum is σ = 101605202. Its totient is φ = 101605200.

The previous prime is 101605181. The next prime is 101605249. The reversal of 101605201 is 102506101.

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., 94556176 + 7049025 = 9724^2 + 2655^2 .

It is a cyclic number.

It is not a de Polignac number, because 101605201 - 2⁹ = 101604689 is a prime.

It is not a weakly prime, because it can be changed into another prime (101605271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50802600 + 50802601.

It is an arithmetic number, because the mean of its divisors is an integer number (50802601).

Almost surely, 2^101605201 is an apocalyptic number.

It is an amenable number.

101605201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101605201 is an equidigital number, since it uses as much as digits as its factorization.

101605201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 101605201 is about 10079.9405256182. The cubic root of 101605201 is about 466.6292729108.

The spelling of 101605201 in words is "one hundred one million, six hundred five thousand, two hundred one".