101660242066101 has 12 divisors (see below), whose sum is σ = 148142063661228. Its totient is φ = 67173729270144.

The previous prime is 101660242066067. The next prime is 101660242066129.

101660242066101 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 602 + 42 + 0 + 6 + 6 + 1 + 0 + 1 = 666.

101660242066101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 21676017374001 + 79984224692100 = 4655751^2 + 8943390^2 .

It is not a de Polignac number, because 101660242066101 - 2¹⁰ = 101660242065077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101660242066171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49980452310 + ... + 49980454343.

It is an arithmetic number, because the mean of its divisors is an integer number (12345171971769).

Almost surely, 2^{101660242066101} is an apocalyptic number.

It is an amenable number.

101660242066101 is a deficient number, since it is larger than the sum of its proper divisors (46481821595127).

101660242066101 is a wasteful number, since it uses less digits than its factorization.

101660242066101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99960906772 (or 99960906769 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 101660242066101 in words is "one hundred one trillion, six hundred sixty billion, two hundred forty-two million, sixty-six thousand, one hundred one".