120116101 has 24 divisors (see below), whose sum is σ = 151597656. Its totient is φ = 94510080.

The previous prime is 120116099. The next prime is 120116111. The reversal of 120116101 is 101611021.

It can be written as a sum of positive squares in 4 ways, for example, as 32787076 + 87329025 = 5726^2 + 9345^2 .

It is not a de Polignac number, because 120116101 - 2¹ = 120116099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120116111) 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 23 ways as a sum of consecutive naturals, for example, 32395 + ... + 35911.

It is an arithmetic number, because the mean of its divisors is an integer number (6316569).

Almost surely, 2^120116101 is an apocalyptic number.

It is an amenable number.

120116101 is a deficient number, since it is larger than the sum of its proper divisors (31481555).

120116101 is a wasteful number, since it uses less digits than its factorization.

120116101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3589 (or 3582 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

The square root of 120116101 is about 10959.7491303405. The cubic root of 120116101 is about 493.4014356414.

Adding to 120116101 its reverse (101611021), we get a palindrome (221727122).

The spelling of 120116101 in words is "one hundred twenty million, one hundred sixteen thousand, one hundred one".