100166066001 has 12 divisors (see below), whose sum is σ = 148594705012. Its totient is φ = 64972583136.

The previous prime is 100166065997. The next prime is 100166066003. The reversal of 100166066001 is 100660661001.

It can be written as a sum of positive squares in 2 ways, for example, as 42180944400 + 57985121601 = 205380^2 + 240801^2 .

It is not a de Polignac number, because 100166066001 - 2² = 100166065997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100166066003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150399166 + ... + 150399831.

Almost surely, 2^100166066001 is an apocalyptic number.

It is an amenable number.

100166066001 is a deficient number, since it is larger than the sum of its proper divisors (48428639011).

100166066001 is a wasteful number, since it uses less digits than its factorization.

100166066001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300799040 (or 300799037 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 100166066001 in words is "one hundred billion, one hundred sixty-six million, sixty-six thousand, one".