10100111101101 has 36 divisors (see below), whose sum is σ = 17209962285984. Its totient is φ = 5690203419600.

The previous prime is 10100111101061. The next prime is 10100111101117. The reversal of 10100111101101 is 10110111100101.

It is not a de Polignac number, because 10100111101101 - 2¹⁰ = 10100111100077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100111101001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 161255635 + ... + 161318256.

It is an arithmetic number, because the mean of its divisors is an integer number (478054507944).

Almost surely, 2^{10100111101101} is an apocalyptic number.

It is an amenable number.

10100111101101 is a deficient number, since it is larger than the sum of its proper divisors (7109851184883).

10100111101101 is a wasteful number, since it uses less digits than its factorization.

10100111101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322573982 (or 322573972 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10100111101101 its reverse (10110111100101), we get a palindrome (20210222201202).

It can be divided in two parts, 1010011 and 1101101, that added together give a palindrome (2111112).

The spelling of 10100111101101 in words is "ten trillion, one hundred billion, one hundred eleven million, one hundred one thousand, one hundred one".