101666451001 has 2 divisors, whose sum is σ = 101666451002. Its totient is φ = 101666451000.

The previous prime is 101666450999. The next prime is 101666451011. The reversal of 101666451001 is 100154666101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79851456400 + 21814994601 = 282580^2 + 147699^2 .

It is a cyclic number.

It is not a de Polignac number, because 101666451001 - 2¹ = 101666450999 is a prime.

Together with 101666450999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101666451011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50833225500 + 50833225501.

It is an arithmetic number, because the mean of its divisors is an integer number (50833225501).

Almost surely, 2^101666451001 is an apocalyptic number.

It is an amenable number.

101666451001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101666451001 is an equidigital number, since it uses as much as digits as its factorization.

101666451001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 31.

The spelling of 101666451001 in words is "one hundred one billion, six hundred sixty-six million, four hundred fifty-one thousand, one".