110100101001100 has 72 divisors (see below), whose sum is σ = 279707963982048. Its totient is φ = 36827908339200.

The previous prime is 110100101001097. The next prime is 110100101001227. The reversal of 110100101001100 is 1100101001011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

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, 1918091527 + ... + 1918148926.

It is an arithmetic number, because the mean of its divisors is an integer number (3884832833084).

Almost surely, 2^{110100101001100} is an apocalyptic number.

110100101001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110100101001100 is an abundant number, since it is smaller than the sum of its proper divisors (169607862980948).

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

110100101001100 is a wasteful number, since it uses less digits than its factorization.

110100101001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3836240515 (or 3836240508 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 110100101001100 its reverse (1100101001011), we get a palindrome (111200202002111).

The spelling of 110100101001100 in words is "one hundred ten trillion, one hundred billion, one hundred one million, one thousand, one hundred".