101666801 has 2 divisors, whose sum is σ = 101666802. Its totient is φ = 101666800.

The previous prime is 101666791. The next prime is 101666821. The reversal of 101666801 is 108666101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99520576 + 2146225 = 9976^2 + 1465^2 .

It is an emirp because it is prime and its reverse (108666101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101666801 - 2²² = 97472497 is a prime.

It is a super-2 number, since 2×101666801² = 20672276851147202, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101666821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50833400 + 50833401.

It is an arithmetic number, because the mean of its divisors is an integer number (50833401).

Almost surely, 2^101666801 is an apocalyptic number.

It is an amenable number.

101666801 is a deficient number, since it is larger than the sum of its proper divisors (1).

101666801 is an equidigital number, since it uses as much as digits as its factorization.

101666801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 101666801 is about 10082.9956362184. The cubic root of 101666801 is about 466.7235546862.

The spelling of 101666801 in words is "one hundred one million, six hundred sixty-six thousand, eight hundred one".