11002000211111 has 16 divisors (see below), whose sum is σ = 13548846830400. Its totient is φ = 8699785613568.

The previous prime is 11002000211099. The next prime is 11002000211131. The reversal of 11002000211111 is 11111200020011.

It is a de Polignac number, because none of the positive numbers 2^k-11002000211111 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11002000211092 and 11002000211101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002000211131) 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, 35216366 + ... + 35527403.

It is an arithmetic number, because the mean of its divisors is an integer number (846802926900).

Almost surely, 2^{11002000211111} is an apocalyptic number.

11002000211111 is a deficient number, since it is larger than the sum of its proper divisors (2546846619289).

11002000211111 is a wasteful number, since it uses less digits than its factorization.

11002000211111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70745498.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11002000211111 its reverse (11111200020011), we get a palindrome (22113200231122).

The spelling of 11002000211111 in words is "eleven trillion, two billion, two hundred eleven thousand, one hundred eleven".