101110110001110 has 128 divisors (see below), whose sum is σ = 308178309519360. Its totient is φ = 23108391358848.

The previous prime is 101110110001093. The next prime is 101110110001111. The reversal of 101110110001110 is 11100011011101.

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 = 101110110001092 and 101110110001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110110001111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14685399 + ... + 20442141.

It is an arithmetic number, because the mean of its divisors is an integer number (2407643043120).

Almost surely, 2^{101110110001110} is an apocalyptic number.

101110110001110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101110110001110 is an abundant number, since it is smaller than the sum of its proper divisors (207068199518250).

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

101110110001110 is a wasteful number, since it uses less digits than its factorization.

101110110001110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5766059 (or 5766053 counting only the distinct ones).

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

Adding to 101110110001110 its reverse (11100011011101), we get a palindrome (112210121012211).

The spelling of 101110110001110 in words is "one hundred one trillion, one hundred ten billion, one hundred ten million, one thousand, one hundred ten".