110111100101100 has 108 divisors (see below), whose sum is σ = 394442429718064. Its totient is φ = 25168251450240.

The previous prime is 110111100101017. The next prime is 110111100101213. The reversal of 110111100101100 is 1101001111011.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8738969899 + ... + 8738982498.

Almost surely, 2^{110111100101100} is an apocalyptic number.

110111100101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110111100101100 is an abundant number, since it is smaller than the sum of its proper divisors (284331329616964).

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

110111100101100 is a wasteful number, since it uses less digits than its factorization.

110111100101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17477952424 (or 17477952414 counting only the distinct ones).

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

Adding to 110111100101100 its reverse (1101001111011), we get a palindrome (111212101212111).

The spelling of 110111100101100 in words is "one hundred ten trillion, one hundred eleven billion, one hundred million, one hundred one thousand, one hundred".