10100101329 has 12 divisors (see below), whose sum is σ = 15129370256. Its totient is φ = 6733400724.

The previous prime is 10100101309. The next prime is 10100101409. The reversal of 10100101329 is 92310100101.

It is not a de Polignac number, because 10100101329 - 2¹¹ = 10100099281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100101309) 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 11 ways as a sum of consecutive naturals, for example, 20781859 + ... + 20782344.

Almost surely, 2^10100101329 is an apocalyptic number.

It is an amenable number.

10100101329 is a deficient number, since it is larger than the sum of its proper divisors (5029268927).

10100101329 is an frugal number, since it uses more digits than its factorization.

10100101329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41564218 (or 41564206 counting only the distinct ones).

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

The spelling of 10100101329 in words is "ten billion, one hundred million, one hundred one thousand, three hundred twenty-nine".