110001111010100 has 18 divisors (see below), whose sum is σ = 238702410892134. Its totient is φ = 44000444404000.

The previous prime is 110001111010099. The next prime is 110001111010183. The reversal of 110001111010100 is 1010111100011.

It can be written as a sum of positive squares in 3 ways, for example, as 4577049475216 + 105424061534884 = 2139404^2 + 10267622^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 550005554951 + ... + 550005555150.

It is an arithmetic number, because the mean of its divisors is an integer number (13261245049563).

Almost surely, 2^{110001111010100} is an apocalyptic number.

110001111010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110001111010100 is an abundant number, since it is smaller than the sum of its proper divisors (128701299882034).

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

110001111010100 is a wasteful number, since it uses less digits than its factorization.

110001111010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100011110115 (or 1100011110108 counting only the distinct ones).

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

Adding to 110001111010100 its reverse (1010111100011), we get a palindrome (111011222110111).

The spelling of 110001111010100 in words is "one hundred ten trillion, one billion, one hundred eleven million, ten thousand, one hundred".