101385301 has 2 divisors, whose sum is σ = 101385302. Its totient is φ = 101385300.

The previous prime is 101385299. The next prime is 101385313. The reversal of 101385301 is 103583101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87142225 + 14243076 = 9335^2 + 3774^2 .

It is a cyclic number.

It is not a de Polignac number, because 101385301 - 2¹ = 101385299 is a prime.

Together with 101385299, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101385341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50692650 + 50692651.

It is an arithmetic number, because the mean of its divisors is an integer number (50692651).

Almost surely, 2^101385301 is an apocalyptic number.

It is an amenable number.

101385301 is a deficient number, since it is larger than the sum of its proper divisors (1).

101385301 is an equidigital number, since it uses as much as digits as its factorization.

101385301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 101385301 is about 10069.0268149410. The cubic root of 101385301 is about 466.2923941834.

The spelling of 101385301 in words is "one hundred one million, three hundred eighty-five thousand, three hundred one".