10110110110110 has 192 divisors, whose sum is σ = 27003750478848. Its totient is φ = 2622951942912.

The previous prime is 10110110110099. The next prime is 10110110110117. The reversal of 10110110110110 is 1101101101101.

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 = 10110110110092 and 10110110110101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110110110117) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2113756779 + ... + 2113761561.

It is an arithmetic number, because the mean of its divisors is an integer number (140644533744).

Almost surely, 2^{10110110110110} is an apocalyptic number.

10110110110110 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 10110110110110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13501875239424).

10110110110110 is an abundant number, since it is smaller than the sum of its proper divisors (16893640368738).

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

10110110110110 is a wasteful number, since it uses less digits than its factorization.

10110110110110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6879 (or 6876 counting only the distinct ones).

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

Adding to 10110110110110 its reverse (1101101101101), we get a palindrome (11211211211211).

Subtracting from 10110110110110 its reverse (1101101101101), we obtain a palindrome (9009009009009).

It can be divided in two parts, 10110 and 110110110, that added together give a triangular number (110120220 = T₁₄₈₄₀).

The spelling of 10110110110110 in words is "ten trillion, one hundred ten billion, one hundred ten million, one hundred ten thousand, one hundred ten".