110110101110010 has 96 divisors (see below), whose sum is σ = 286686206876160. Its totient is φ = 29321678880000.

The previous prime is 110110101109999. The next prime is 110110101110017. The reversal of 110110101110010 is 10011101011011.

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 = 110110101109974 and 110110101110001.

It is not an unprimeable number, because it can be changed into a prime (110110101110017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1251790411 + ... + 1251878369.

It is an arithmetic number, because the mean of its divisors is an integer number (2986314654960).

Almost surely, 2^{110110101110010} is an apocalyptic number.

110110101110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110110101110010 is an abundant number, since it is smaller than the sum of its proper divisors (176576105766150).

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

110110101110010 is a wasteful number, since it uses less digits than its factorization.

110110101110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107244 (or 107241 counting only the distinct ones).

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

Adding to 110110101110010 its reverse (10011101011011), we get a palindrome (120121202121021).

The spelling of 110110101110010 in words is "one hundred ten trillion, one hundred ten billion, one hundred one million, one hundred ten thousand, ten".