10130006101 has 2 divisors, whose sum is σ = 10130006102. Its totient is φ = 10130006100.

The previous prime is 10130006057. The next prime is 10130006119. The reversal of 10130006101 is 10160003101.

It is a happy number.

10130006101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9365207076 + 764799025 = 96774^2 + 27655^2 .

It is a cyclic number.

It is not a de Polignac number, because 10130006101 - 2¹⁵ = 10129973333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10130003101) 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 as a sum of consecutive naturals, namely, 5065003050 + 5065003051.

It is an arithmetic number, because the mean of its divisors is an integer number (5065003051).

Almost surely, 2^10130006101 is an apocalyptic number.

It is an amenable number.

10130006101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10130006101 is an equidigital number, since it uses as much as digits as its factorization.

10130006101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10130006101 its reverse (10160003101), we get a palindrome (20290009202).

It can be divided in two parts, 1013000 and 6101, that added together give a palindrome (1019101).

The spelling of 10130006101 in words is "ten billion, one hundred thirty million, six thousand, one hundred one".