11000002102211 has 16 divisors (see below), whose sum is σ = 11459603860320. Its totient is φ = 10551408053760.

The previous prime is 11000002102207. The next prime is 11000002102217. The reversal of 11000002102211 is 11220120000011.

It is a cyclic number.

It is not a de Polignac number, because 11000002102211 - 2² = 11000002102207 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11000002102192 and 11000002102201.

It is not an unprimeable number, because it can be changed into a prime (11000002102217) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9854960 + ... + 10914221.

It is an arithmetic number, because the mean of its divisors is an integer number (716225241270).

Almost surely, 2^{11000002102211} is an apocalyptic number.

11000002102211 is a deficient number, since it is larger than the sum of its proper divisors (459601758109).

11000002102211 is a wasteful number, since it uses less digits than its factorization.

11000002102211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20769446.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11000002102211 its reverse (11220120000011), we get a palindrome (22220122102222).

The spelling of 11000002102211 in words is "eleven trillion, two million, one hundred two thousand, two hundred eleven".