101124017 has 2 divisors, whose sum is σ = 101124018. Its totient is φ = 101124016.

The previous prime is 101123993. The next prime is 101124019. The reversal of 101124017 is 710421101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62236321 + 38887696 = 7889^2 + 6236^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101124017 is a prime.

Together with 101124019, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 101123986 and 101124004.

It is not a weakly prime, because it can be changed into another prime (101124019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50562008 + 50562009.

It is an arithmetic number, because the mean of its divisors is an integer number (50562009).

Almost surely, 2^101124017 is an apocalyptic number.

It is an amenable number.

101124017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101124017 is an equidigital number, since it uses as much as digits as its factorization.

101124017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 101124017 is about 10056.0438045983. The cubic root of 101124017 is about 465.8914828333.

Adding to 101124017 its reverse (710421101), we get a palindrome (811545118).

The spelling of 101124017 in words is "one hundred one million, one hundred twenty-four thousand, seventeen".