101315917 has 2 divisors, whose sum is σ = 101315918. Its totient is φ = 101315916.

The previous prime is 101315861. The next prime is 101315939. The reversal of 101315917 is 719513101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77686596 + 23629321 = 8814^2 + 4861^2 .

It is an emirp because it is prime and its reverse (719513101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101315917 - 2¹⁹ = 100791629 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101315947) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50657958 + 50657959.

It is an arithmetic number, because the mean of its divisors is an integer number (50657959).

Almost surely, 2^101315917 is an apocalyptic number.

It is an amenable number.

101315917 is a deficient number, since it is larger than the sum of its proper divisors (1).

101315917 is an equidigital number, since it uses as much as digits as its factorization.

101315917 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 945, while the sum is 28.

The square root of 101315917 is about 10065.5808078819. The cubic root of 101315917 is about 466.1859993564.

It can be divided in two parts, 1013159 and 17, that added together give a triangular number (1013176 = T₁₄₂₃).

The spelling of 101315917 in words is "one hundred one million, three hundred fifteen thousand, nine hundred seventeen".