101665101 has 16 divisors (see below), whose sum is σ = 138259008. Its totient is φ = 66432000.

The previous prime is 101665099. The next prime is 101665121. The reversal of 101665101 is 101566101.

It is not a de Polignac number, because 101665101 - 2¹ = 101665099 is a prime.

It is a super-2 number, since 2×101665101² = 20671585522680402, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101665121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62701 + ... + 64301.

It is an arithmetic number, because the mean of its divisors is an integer number (8641188).

Almost surely, 2^101665101 is an apocalyptic number.

It is an amenable number.

101665101 is a deficient number, since it is larger than the sum of its proper divisors (36593907).

101665101 is a wasteful number, since it uses less digits than its factorization.

101665101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012.

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 101665101 is about 10082.9113355221. The cubic root of 101665101 is about 466.7209532652.

The spelling of 101665101 in words is "one hundred one million, six hundred sixty-five thousand, one hundred one".