10110100101 has 32 divisors (see below), whose sum is σ = 13962993792. Its totient is φ = 6502809600.

The previous prime is 10110100093. The next prime is 10110100123. The reversal of 10110100101 is 10100101101.

10110100101 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 10110100101 - 2³ = 10110100093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10110100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110100151) 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 31 ways as a sum of consecutive naturals, for example, 8767941 + ... + 8769093.

It is an arithmetic number, because the mean of its divisors is an integer number (436343556).

Almost surely, 2^10110100101 is an apocalyptic number.

It is an amenable number.

10110100101 is a deficient number, since it is larger than the sum of its proper divisors (3852893691).

10110100101 is a wasteful number, since it uses less digits than its factorization.

10110100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973.

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

Adding to 10110100101 its reverse (10100101101), we get a palindrome (20210201202).

It can be divided in two parts, 101 and 10100101, that multiplied together give a palindrome (1020110201).

The spelling of 10110100101 in words is "ten billion, one hundred ten million, one hundred thousand, one hundred one".