110210010000100 has 36 divisors (see below), whose sum is σ = 239679038477284. Its totient is φ = 43987540078080.

The previous prime is 110210010000029. The next prime is 110210010000137. The reversal of 110210010000100 is 1000010012011.

It can be written as a sum of positive squares in 6 ways, for example, as 6804418326784 + 103405591673316 = 2608528^2 + 10168854^2 .

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 11 ways as a sum of consecutive naturals, for example, 1205753097 + ... + 1205844496.

Almost surely, 2^{110210010000100} is an apocalyptic number.

110210010000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110210010000100 is an abundant number, since it is smaller than the sum of its proper divisors (129469028477184).

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

110210010000100 is a wasteful number, since it uses less digits than its factorization.

110210010000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411598064 (or 2411598057 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 110210010000100 its reverse (1000010012011), we get a palindrome (111210020012111).

The spelling of 110210010000100 in words is "one hundred ten trillion, two hundred ten billion, ten million, one hundred", and thus it is an aban number.