10100103129 has 6 divisors (see below), whose sum is σ = 14589037866. Its totient is φ = 6733402080.

The previous prime is 10100103107. The next prime is 10100103179. The reversal of 10100103129 is 92130100101.

10100103129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9896270400 + 203832729 = 99480^2 + 14277^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10100103129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100103179) 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 5 ways as a sum of consecutive naturals, for example, 561116832 + ... + 561116849.

It is an arithmetic number, because the mean of its divisors is an integer number (2431506311).

Almost surely, 2^10100103129 is an apocalyptic number.

It is an amenable number.

10100103129 is a deficient number, since it is larger than the sum of its proper divisors (4488934737).

10100103129 is a wasteful number, since it uses less digits than its factorization.

10100103129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122233687 (or 1122233684 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The spelling of 10100103129 in words is "ten billion, one hundred million, one hundred three thousand, one hundred twenty-nine".