2111102111013 has 16 divisors (see below), whose sum is σ = 3216947928576. Its totient is φ = 1206332653680.

The previous prime is 2111102111011. The next prime is 2111102111017. The reversal of 2111102111013 is 3101112011112.

It is not a de Polignac number, because 2111102111013 - 2¹ = 2111102111011 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2111102110983 and 2111102111001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111102111011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2129770 + ... + 2959412.

It is an arithmetic number, because the mean of its divisors is an integer number (201059245536).

Almost surely, 2^{2111102111013} is an apocalyptic number.

It is an amenable number.

2111102111013 is a deficient number, since it is larger than the sum of its proper divisors (1105845817563).

2111102111013 is a wasteful number, since it uses less digits than its factorization.

2111102111013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950824.

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 2111102111013 its reverse (3101112011112), we get a palindrome (5212214122125).

Subtracting 2111102111013 from its reverse (3101112011112), we obtain a palindrome (990009900099).

The spelling of 2111102111013 in words is "two trillion, one hundred eleven billion, one hundred two million, one hundred eleven thousand, thirteen".