130112101 has 24 divisors (see below), whose sum is σ = 161841240. Its totient is φ = 103928832.

The previous prime is 130112083. The next prime is 130112111. The reversal of 130112101 is 101211031.

It can be written as a sum of positive squares in 4 ways, for example, as 69739201 + 60372900 = 8351^2 + 7770^2 .

It is not a de Polignac number, because 130112101 - 2¹⁵ = 130079333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130112111) 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, 90081 + ... + 91513.

It is an arithmetic number, because the mean of its divisors is an integer number (6743385).

Almost surely, 2^130112101 is an apocalyptic number.

It is an amenable number.

130112101 is a deficient number, since it is larger than the sum of its proper divisors (31729139).

130112101 is a wasteful number, since it uses less digits than its factorization.

130112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 130112101 is about 11406.6691457235. The cubic root of 130112101 is about 506.7252705662.

Adding to 130112101 its reverse (101211031), we get a palindrome (231323132).

The spelling of 130112101 in words is "one hundred thirty million, one hundred twelve thousand, one hundred one".