101352817 has 2 divisors, whose sum is σ = 101352818. Its totient is φ = 101352816.

The previous prime is 101352749. The next prime is 101352841. The reversal of 101352817 is 718253101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72182016 + 29170801 = 8496^2 + 5401^2 .

It is a cyclic number.

It is not a de Polignac number, because 101352817 - 2¹⁹ = 100828529 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101352847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50676408 + 50676409.

It is an arithmetic number, because the mean of its divisors is an integer number (50676409).

Almost surely, 2^101352817 is an apocalyptic number.

It is an amenable number.

101352817 is a deficient number, since it is larger than the sum of its proper divisors (1).

101352817 is an equidigital number, since it uses as much as digits as its factorization.

101352817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 101352817 is about 10067.4136201906. The cubic root of 101352817 is about 466.2425886068.

The spelling of 101352817 in words is "one hundred one million, three hundred fifty-two thousand, eight hundred seventeen".