127842487101 has 18 divisors (see below), whose sum is σ = 214810166142. Its totient is φ = 73052849520.

The previous prime is 127842487043. The next prime is 127842487103. The reversal of 127842487101 is 101784248721.

127842487101 is a `hidden beast` number, since 1 + 27 + 8 + 42 + 487 + 101 = 666.

It can be written as a sum of positive squares in only one way, i.e., 100632335076 + 27210152025 = 317226^2 + 164955^2 .

It is not a de Polignac number, because 127842487101 - 2¹⁷ = 127842356029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127842487103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 144945690 + ... + 144946571.

It is an arithmetic number, because the mean of its divisors is an integer number (11933898119).

Almost surely, 2^127842487101 is an apocalyptic number.

It is an amenable number.

127842487101 is a deficient number, since it is larger than the sum of its proper divisors (86967679041).

127842487101 is a wasteful number, since it uses less digits than its factorization.

127842487101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289892281 (or 289892271 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 127842487101 in words is "one hundred twenty-seven billion, eight hundred forty-two million, four hundred eighty-seven thousand, one hundred one".