110110001004 has 72 divisors (see below), whose sum is σ = 290526818400. Its totient is φ = 35096447232.

The previous prime is 110110001003. The next prime is 110110001051. The reversal of 110110001004 is 400100011011.

It is a super-2 number, since 2×110110001004² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (110110001003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2836494 + ... + 2875050.

It is an arithmetic number, because the mean of its divisors is an integer number (4035094700).

Almost surely, 2^110110001004 is an apocalyptic number.

It is an amenable number.

110110001004 is an abundant number, since it is smaller than the sum of its proper divisors (180416817396).

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

110110001004 is a wasteful number, since it uses less digits than its factorization.

110110001004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42039 (or 42034 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110110001004 its reverse (400100011011), we get a palindrome (510210012015).

The spelling of 110110001004 in words is "one hundred ten billion, one hundred ten million, one thousand, four".