127168101 has 12 divisors (see below), whose sum is σ = 188167980. Its totient is φ = 82710720.

The previous prime is 127168099. The next prime is 127168133. The reversal of 127168101 is 101861721.

It can be written as a sum of positive squares in 2 ways, for example, as 4955076 + 122213025 = 2226^2 + 11055^2 .

It is not a de Polignac number, because 127168101 - 2¹ = 127168099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127168141) 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, 171946 + ... + 172683.

It is an arithmetic number, because the mean of its divisors is an integer number (15680665).

Almost surely, 2^127168101 is an apocalyptic number.

It is an amenable number.

127168101 is a deficient number, since it is larger than the sum of its proper divisors (60999879).

127168101 is a wasteful number, since it uses less digits than its factorization.

127168101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344676 (or 344673 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The square root of 127168101 is about 11276.8834790469. The cubic root of 127168101 is about 502.8742470808.

The spelling of 127168101 in words is "one hundred twenty-seven million, one hundred sixty-eight thousand, one hundred one".