101101111101110 has 16 divisors (see below), whose sum is σ = 181982303500032. Its totient is φ = 40440376992000.

The previous prime is 101101111101097. The next prime is 101101111101121. The reversal of 101101111101110 is 11101111101101.

101101111101110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101101111101091 and 101101111101100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1894166 + ... + 14345385.

It is an arithmetic number, because the mean of its divisors is an integer number (11373893968752).

Almost surely, 2^{101101111101110} is an apocalyptic number.

101101111101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101101111101110 is a deficient number, since it is larger than the sum of its proper divisors (80881192398922).

101101111101110 is a wasteful number, since it uses less digits than its factorization.

101101111101110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16862119.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 101101111101110 its reverse (11101111101101), we get a palindrome (112202222202211).

Subtracting from 101101111101110 its reverse (11101111101101), we obtain a palindrome (90000000000009).

The spelling of 101101111101110 in words is "one hundred one trillion, one hundred one billion, one hundred eleven million, one hundred one thousand, one hundred ten".