110110012010010 has 48 divisors (see below), whose sum is σ = 286291172199240. Its totient is φ = 29362142590080.

The previous prime is 110110012009913. The next prime is 110110012010069. The reversal of 110110012010010 is 10010210011011.

It can be written as a sum of positive squares in 4 ways, for example, as 98990341473321 + 11119670536689 = 9949389^2 + 3334617^2 .

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 = 110110012009974 and 110110012010001.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5932461 + ... + 15981680.

Almost surely, 2^{110110012010010} is an apocalyptic number.

110110012010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110110012010010 is an abundant number, since it is smaller than the sum of its proper divisors (176181160189230).

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

110110012010010 is a wasteful number, since it uses less digits than its factorization.

110110012010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21969983 (or 21969980 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 110110012010010 its reverse (10010210011011), we get a palindrome (120120222021021).

The spelling of 110110012010010 in words is "one hundred ten trillion, one hundred ten billion, twelve million, ten thousand, ten".