101272517 has 2 divisors, whose sum is σ = 101272518. Its totient is φ = 101272516.

The previous prime is 101272513. The next prime is 101272531. The reversal of 101272517 is 715272101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100681156 + 591361 = 10034^2 + 769^2 .

It is a cyclic number.

It is not a de Polignac number, because 101272517 - 2² = 101272513 is a prime.

It is a super-2 number, since 2×101272517² = 20512245399030578, which contains 22 as substring.

It is equal to p_5830514 and since 101272517 and 5830514 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101272513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50636258 + 50636259.

It is an arithmetic number, because the mean of its divisors is an integer number (50636259).

Almost surely, 2^101272517 is an apocalyptic number.

It is an amenable number.

101272517 is a deficient number, since it is larger than the sum of its proper divisors (1).

101272517 is an equidigital number, since it uses as much as digits as its factorization.

101272517 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 980, while the sum is 26.

The square root of 101272517 is about 10063.4247152746. The cubic root of 101272517 is about 466.1194242232.

The spelling of 101272517 in words is "one hundred one million, two hundred seventy-two thousand, five hundred seventeen".