101101010111101 has 64 divisors (see below), whose sum is σ = 146530270494720. Its totient is φ = 67159706423040.

The previous prime is 101101010111089. The next prime is 101101010111117. The reversal of 101101010111101 is 101111010101101.

It is a happy number.

It is not a de Polignac number, because 101101010111101 - 2⁵ = 101101010111069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101010111191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75044485 + ... + 76379818.

It is an arithmetic number, because the mean of its divisors is an integer number (2289535476480).

Almost surely, 2^{101101010111101} is an apocalyptic number.

101101010111101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101101010111101 is a deficient number, since it is larger than the sum of its proper divisors (45429260383619).

101101010111101 is a wasteful number, since it uses less digits than its factorization.

101101010111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151424386.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 101101010111101 its reverse (101111010101101), we get a palindrome (202212020212202).

It can be divided in two parts, 1011010 and 10111101, that added together give a palindrome (11122111).

The spelling of 101101010111101 in words is "one hundred one trillion, one hundred one billion, ten million, one hundred eleven thousand, one hundred one".