101679521 has 2 divisors, whose sum is σ = 101679522. Its totient is φ = 101679520.

The previous prime is 101679511. The next prime is 101679577. The reversal of 101679521 is 125976101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63425296 + 38254225 = 7964^2 + 6185^2 .

It is an emirp because it is prime and its reverse (125976101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101679521 - 2¹⁰ = 101678497 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p_5852561 and since 101679521 and 5852561 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (101679511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50839760 + 50839761.

It is an arithmetic number, because the mean of its divisors is an integer number (50839761).

Almost surely, 2^101679521 is an apocalyptic number.

It is an amenable number.

101679521 is a deficient number, since it is larger than the sum of its proper divisors (1).

101679521 is an equidigital number, since it uses as much as digits as its factorization.

101679521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 32.

The square root of 101679521 is about 10083.6263814166. The cubic root of 101679521 is about 466.7430185164.

The spelling of 101679521 in words is "one hundred one million, six hundred seventy-nine thousand, five hundred twenty-one".