101101001101110 has 48 divisors (see below), whose sum is σ = 278325108917856. Its totient is φ = 25374368903424.

The previous prime is 101101001101097. The next prime is 101101001101129. The reversal of 101101001101110 is 11101100101101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101101001101092 and 101101001101101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33039541314 + ... + 33039544373.

It is an arithmetic number, because the mean of its divisors is an integer number (5798439769122).

Almost surely, 2^{101101001101110} is an apocalyptic number.

101101001101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101101001101110 is an abundant number, since it is smaller than the sum of its proper divisors (177224107816746).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101101001101110 is a wasteful number, since it uses less digits than its factorization.

101101001101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66079085717 (or 66079085714 counting only the distinct ones).

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

Adding to 101101001101110 its reverse (11101100101101), we get a palindrome (112202101202211).

The spelling of 101101001101110 in words is "one hundred one trillion, one hundred one billion, one million, one hundred one thousand, one hundred ten".