110010101100100 has 36 divisors (see below), whose sum is σ = 240834502769364. Its totient is φ = 43614624148480.

The previous prime is 110010101100077. The next prime is 110010101100131. The reversal of 110010101100100 is 1001101010011.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3177577195776 + 106832523904324 = 1782576^2 + 10335982^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4867692289 + ... + 4867714888.

It is an arithmetic number, because the mean of its divisors is an integer number (6689847299149).

Almost surely, 2^{110010101100100} is an apocalyptic number.

110010101100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110010101100100 is an abundant number, since it is smaller than the sum of its proper divisors (130824401669264).

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

110010101100100 is a wasteful number, since it uses less digits than its factorization.

110010101100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9735407304 (or 9735407297 counting only the distinct ones).

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

Adding to 110010101100100 its reverse (1001101010011), we get a palindrome (111011202110111).

The spelling of 110010101100100 in words is "one hundred ten trillion, ten billion, one hundred one million, one hundred thousand, one hundred".