101685121 has 2 divisors, whose sum is σ = 101685122. Its totient is φ = 101685120.

The previous prime is 101685091. The next prime is 101685127. The reversal of 101685121 is 121586101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58599025 + 43086096 = 7655^2 + 6564^2 .

It is a cyclic number.

It is not a de Polignac number, because 101685121 - 2¹¹ = 101683073 is a prime.

It is not a weakly prime, because it can be changed into another prime (101685127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50842560 + 50842561.

It is an arithmetic number, because the mean of its divisors is an integer number (50842561).

Almost surely, 2^101685121 is an apocalyptic number.

It is an amenable number.

101685121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101685121 is an equidigital number, since it uses as much as digits as its factorization.

101685121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 25.

The square root of 101685121 is about 10083.9040554738. The cubic root of 101685121 is about 466.7515869836.

The spelling of 101685121 in words is "one hundred one million, six hundred eighty-five thousand, one hundred twenty-one".