101101101101110 has 16 divisors (see below), whose sum is σ = 198525798526032. Its totient is φ = 36764036764000.

The previous prime is 101101101101087. The next prime is 101101101101173. The reversal of 101101101101110 is 11101101101101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 459550459441 + ... + 459550459660.

It is an arithmetic number, because the mean of its divisors is an integer number (12407862407877).

Almost surely, 2^{101101101101110} is an apocalyptic number.

101101101101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101101101101110 is a deficient number, since it is larger than the sum of its proper divisors (97424697424922).

101101101101110 is a wasteful number, since it uses less digits than its factorization.

101101101101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919100919119.

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

Adding to 101101101101110 its reverse (11101101101101), we get a palindrome (112202202202211).

Subtracting from 101101101101110 its reverse (11101101101101), we obtain a palindrome (90000000000009).

The spelling of 101101101101110 in words is "one hundred one trillion, one hundred one billion, one hundred one million, one hundred one thousand, one hundred ten".