10100011101 has 16 divisors (see below), whose sum is σ = 13862217600. Its totient is φ = 6536403648.

The previous prime is 10100011093. The next prime is 10100011147. The reversal of 10100011101 is 10111000101.

It is not a de Polignac number, because 10100011101 - 2³ = 10100011093 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 10100011101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100011001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54906 + ... + 152363.

It is an arithmetic number, because the mean of its divisors is an integer number (866388600).

Almost surely, 2^10100011101 is an apocalyptic number.

It is an amenable number.

10100011101 is a deficient number, since it is larger than the sum of its proper divisors (3762206499).

10100011101 is a wasteful number, since it uses less digits than its factorization.

10100011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207748.

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

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

It can be divided in two parts, 101000 and 11101, that added together give a triangular number (112101 = T₄₇₃).

The spelling of 10100011101 in words is "ten billion, one hundred million, eleven thousand, one hundred one".