2102211111011 has 16 divisors (see below), whose sum is σ = 2301670008288. Its totient is φ = 1904144793600.

The previous prime is 2102211110977. The next prime is 2102211111017. The reversal of 2102211111011 is 1101111122012.

It is a cyclic number.

It is not a de Polignac number, because 2102211111011 - 2⁶ = 2102211110947 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2102211111017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56710595 + ... + 56747651.

It is an arithmetic number, because the mean of its divisors is an integer number (143854375518).

Almost surely, 2^{2102211111011} is an apocalyptic number.

2102211111011 is a deficient number, since it is larger than the sum of its proper divisors (199458897277).

2102211111011 is a wasteful number, since it uses less digits than its factorization.

2102211111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55702.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 2102211111011 its reverse (1101111122012), we get a palindrome (3203322233023).

The spelling of 2102211111011 in words is "two trillion, one hundred two billion, two hundred eleven million, one hundred eleven thousand, eleven".