11000010114 has 40 divisors (see below), whose sum is σ = 24659154828. Its totient is φ = 3665036160.

The previous prime is 11000010113. The next prime is 11000010137. The reversal of 11000010114 is 41101000011.

11000010114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10550782089 + 449228025 = 102717^2 + 21195^2 .

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 = 11000010096 and 11000010105.

It is not an unprimeable number, because it can be changed into a prime (11000010113) by changing a digit.

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, 381534 + ... + 409350.

Almost surely, 2^11000010114 is an apocalyptic number.

11000010114 is an abundant number, since it is smaller than the sum of its proper divisors (13659144714).

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

11000010114 is a wasteful number, since it uses less digits than its factorization.

11000010114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30272 (or 30263 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11000010114 its reverse (41101000011), we get a palindrome (52101010125).

The spelling of 11000010114 in words is "eleven billion, ten thousand, one hundred fourteen".