101111110111110 has 256 divisors, whose sum is σ = 276882484985856. Its totient is φ = 23418158400000.

The previous prime is 101111110111103. The next prime is 101111110111117. The reversal of 101111110111110 is 11111011111101.

It is an interprime number because it is at equal distance from previous prime (101111110111103) and next prime (101111110111117).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111110111117) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 110767665 + ... + 111676755.

It is an arithmetic number, because the mean of its divisors is an integer number (1081572206976).

Almost surely, 2^{101111110111110} is an apocalyptic number.

101111110111110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101111110111110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138441242492928).

101111110111110 is an abundant number, since it is smaller than the sum of its proper divisors (175771374874746).

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

101111110111110 is a wasteful number, since it uses less digits than its factorization.

101111110111110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909331.

The product of its (nonzero) digits is 1, while the sum is 12.

Adding to 101111110111110 its reverse (11111011111101), we get a palindrome (112222121222211).

Subtracting from 101111110111110 its reverse (11111011111101), we obtain a palindrome (90000099000009).

The spelling of 101111110111110 in words is "one hundred one trillion, one hundred eleven billion, one hundred ten million, one hundred eleven thousand, one hundred ten".