166120101 has 24 divisors (see below), whose sum is σ = 277542720. Its totient is φ = 93779136.

The previous prime is 166120079. The next prime is 166120109. The reversal of 166120101 is 101021661.

166120101 is a `hidden beast` number, since 1 + 661 + 2 + 0 + 1 + 0 + 1 = 666.

It is not a de Polignac number, because 166120101 - 2¹⁷ = 165989029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166120109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10656 + ... + 21113.

It is an arithmetic number, because the mean of its divisors is an integer number (11564280).

Almost surely, 2^166120101 is an apocalyptic number.

It is an amenable number.

166120101 is a deficient number, since it is larger than the sum of its proper divisors (111422619).

166120101 is a wasteful number, since it uses less digits than its factorization.

166120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31865 (or 31862 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 166120101 is about 12888.7587067180. The cubic root of 166120101 is about 549.7189759937.

Adding to 166120101 its reverse (101021661), we get a palindrome (267141762).

The spelling of 166120101 in words is "one hundred sixty-six million, one hundred twenty thousand, one hundred one".