10010000101 has 8 divisors (see below), whose sum is σ = 10117737344. Its totient is φ = 9902466000.

The previous prime is 10010000059. The next prime is 10010000111. The reversal of 10010000101 is 10100001001.

10010000101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10010000101 - 2¹³ = 10009991909 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 (10010000111) 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 7 ways as a sum of consecutive naturals, for example, 49351 + ... + 149851.

It is an arithmetic number, because the mean of its divisors is an integer number (1264717168).

Almost surely, 2^10010000101 is an apocalyptic number.

It is an amenable number.

10010000101 is a deficient number, since it is larger than the sum of its proper divisors (107737243).

10010000101 is a wasteful number, since it uses less digits than its factorization.

10010000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101571.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 10010000101 its reverse (10100001001), we get a palindrome (20110001102).

The spelling of 10010000101 in words is "ten billion, ten million, one hundred one", and thus it is an aban number.