101385253 has 2 divisors, whose sum is σ = 101385254. Its totient is φ = 101385252.

The previous prime is 101385241. The next prime is 101385259. The reversal of 101385253 is 352583101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91355364 + 10029889 = 9558^2 + 3167^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101385253 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101385259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50692626 + 50692627.

It is an arithmetic number, because the mean of its divisors is an integer number (50692627).

Almost surely, 2^101385253 is an apocalyptic number.

It is an amenable number.

101385253 is a deficient number, since it is larger than the sum of its proper divisors (1).

101385253 is an equidigital number, since it uses as much as digits as its factorization.

101385253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 101385253 is about 10069.0244313935. The cubic root of 101385253 is about 466.2923205960.

The spelling of 101385253 in words is "one hundred one million, three hundred eighty-five thousand, two hundred fifty-three".