110110100101100 has 72 divisors (see below), whose sum is σ = 260670012926400. Its totient is φ = 40038596161600.

The previous prime is 110110100101033. The next prime is 110110100101139. The reversal of 110110100101100 is 1101001011011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29034611 + ... + 32607189.

It is an arithmetic number, because the mean of its divisors is an integer number (3620416846200).

Almost surely, 2^{110110100101100} is an apocalyptic number.

110110100101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110110100101100 is an abundant number, since it is smaller than the sum of its proper divisors (150559912825300).

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

110110100101100 is a wasteful number, since it uses less digits than its factorization.

110110100101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600623 (or 3600616 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 110110100101100 its reverse (1101001011011), we get a palindrome (111211101112111).

It can be divided in two parts, 1 and 10110100101100, that added together give a palindrome (10110100101101).

The spelling of 110110100101100 in words is "one hundred ten trillion, one hundred ten billion, one hundred million, one hundred one thousand, one hundred".