110005111101004 has 24 divisors (see below), whose sum is σ = 220010654626560. Its totient is φ = 47144954952336.

The previous prime is 110005111101001. The next prime is 110005111101071. The reversal of 110005111101004 is 400101111500011.

It is a super-2 number, since 2×110005111101004² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (110005111101001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11746209 + ... + 18920455.

It is an arithmetic number, because the mean of its divisors is an integer number (9167110609440).

Almost surely, 2^{110005111101004} is an apocalyptic number.

110005111101004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

110005111101004 is an abundant number, since it is smaller than the sum of its proper divisors (110005543525556).

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

110005111101004 is a wasteful number, since it uses less digits than its factorization.

110005111101004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7721877 (or 7721875 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 16.

Adding to 110005111101004 its reverse (400101111500011), we get a palindrome (510106222601015).

The spelling of 110005111101004 in words is "one hundred ten trillion, five billion, one hundred eleven million, one hundred one thousand, four".