11000010110112 has 120 divisors (see below), whose sum is σ = 32881064391252. Its totient is φ = 3606560640000.

The previous prime is 11000010110009. The next prime is 11000010110129. The reversal of 11000010110112 is 21101101000011.

It can be written as a sum of positive squares in 2 ways, for example, as 10671172088976 + 328838021136 = 3266676^2 + 573444^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 11000010110094 and 11000010110103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34627389 + ... + 34943612.

Almost surely, 2^{11000010110112} is an apocalyptic number.

11000010110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11000010110112 is an abundant number, since it is smaller than the sum of its proper divisors (21881054281140).

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

11000010110112 is an equidigital number, since it uses as much as digits as its factorization.

11000010110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69571084 (or 69571067 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11000010110112 its reverse (21101101000011), we get a palindrome (32101111110123).

The spelling of 11000010110112 in words is "eleven trillion, ten million, one hundred ten thousand, one hundred twelve".