101166521 has 2 divisors, whose sum is σ = 101166522. Its totient is φ = 101166520.

The previous prime is 101166491. The next prime is 101166577. The reversal of 101166521 is 125661101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66650896 + 34515625 = 8164^2 + 5875^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101166521 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101163521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50583260 + 50583261.

It is an arithmetic number, because the mean of its divisors is an integer number (50583261).

Almost surely, 2^101166521 is an apocalyptic number.

It is an amenable number.

101166521 is a deficient number, since it is larger than the sum of its proper divisors (1).

101166521 is an equidigital number, since it uses as much as digits as its factorization.

101166521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 101166521 is about 10058.1569385251. The cubic root of 101166521 is about 465.9567475068.

The spelling of 101166521 in words is "one hundred one million, one hundred sixty-six thousand, five hundred twenty-one".