101712109 has 2 divisors, whose sum is σ = 101712110. Its totient is φ = 101712108.

The previous prime is 101712067. The next prime is 101712179. The reversal of 101712109 is 901217101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95004009 + 6708100 = 9747^2 + 2590^2 .

It is a cyclic number.

It is not a de Polignac number, because 101712109 - 2¹⁷ = 101581037 is a prime.

It is a super-3 number, since 3×101712109³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101712109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101712179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50856054 + 50856055.

It is an arithmetic number, because the mean of its divisors is an integer number (50856055).

Almost surely, 2^101712109 is an apocalyptic number.

It is an amenable number.

101712109 is a deficient number, since it is larger than the sum of its proper divisors (1).

101712109 is an equidigital number, since it uses as much as digits as its factorization.

101712109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 22.

The square root of 101712109 is about 10085.2421388879. The cubic root of 101712109 is about 466.7928764644.

The spelling of 101712109 in words is "one hundred one million, seven hundred twelve thousand, one hundred nine".