11000012101110 has 48 divisors (see below), whose sum is σ = 28606200335856. Its totient is φ = 2932703855424.

The previous prime is 11000012101093. The next prime is 11000012101193. The reversal of 11000012101110 is 1110121000011.

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 = 11000012101092 and 11000012101101.

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 23 ways as a sum of consecutive naturals, for example, 12761704 + ... + 13596363.

It is an arithmetic number, because the mean of its divisors is an integer number (595962506997).

Almost surely, 2^{11000012101110} is an apocalyptic number.

11000012101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11000012101110 is an abundant number, since it is smaller than the sum of its proper divisors (17606188234746).

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

11000012101110 is a wasteful number, since it uses less digits than its factorization.

11000012101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26362717 (or 26362714 counting only the distinct ones).

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

Adding to 11000012101110 its reverse (1110121000011), we get a palindrome (12110133101121).

The spelling of 11000012101110 in words is "eleven trillion, twelve million, one hundred one thousand, one hundred ten".