10111000101 has 16 divisors (see below), whose sum is σ = 13968239424. Its totient is φ = 6500438784.

The previous prime is 10111000073. The next prime is 10111000153. The reversal of 10111000101 is 10100011101.

10111000101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10111000101 - 2²⁵ = 10077445669 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10111000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111000171) 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 15 ways as a sum of consecutive naturals, for example, 390511 + ... + 415596.

It is an arithmetic number, because the mean of its divisors is an integer number (873014964).

Almost surely, 2^10111000101 is an apocalyptic number.

It is an amenable number.

10111000101 is a deficient number, since it is larger than the sum of its proper divisors (3857239323).

10111000101 is a wasteful number, since it uses less digits than its factorization.

10111000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806260.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10111000101 its reverse (10100011101), we get a palindrome (20211011202).

It can be divided in two parts, 10111000 and 101, that added together give a palindrome (10111101).

The spelling of 10111000101 in words is "ten billion, one hundred eleven million, one hundred one", and thus it is an aban number.