101684117 has 2 divisors, whose sum is σ = 101684118. Its totient is φ = 101684116.

The previous prime is 101684087. The next prime is 101684131. The reversal of 101684117 is 711486101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81018001 + 20666116 = 9001^2 + 4546^2 .

It is a cyclic number.

It is not a de Polignac number, because 101684117 - 2¹⁰ = 101683093 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101684117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101684137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50842058 + 50842059.

It is an arithmetic number, because the mean of its divisors is an integer number (50842059).

Almost surely, 2^101684117 is an apocalyptic number.

It is an amenable number.

101684117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101684117 is an equidigital number, since it uses as much as digits as its factorization.

101684117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1344, while the sum is 29.

The square root of 101684117 is about 10083.8542730446. The cubic root of 101684117 is about 466.7500508030.

The spelling of 101684117 in words is "one hundred one million, six hundred eighty-four thousand, one hundred seventeen".