2211110210213 has 16 divisors (see below), whose sum is σ = 2314234488960. Its totient is φ = 2108573793216.

The previous prime is 2211110210171. The next prime is 2211110210251. The reversal of 2211110210213 is 3120120111122.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2211110210213 - 2²⁰ = 2211109161637 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2211110210191 and 2211110210200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211110260213) 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, 18173978 + ... + 18295236.

It is an arithmetic number, because the mean of its divisors is an integer number (144639655560).

Almost surely, 2^{2211110210213} is an apocalyptic number.

2211110210213 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2211110210213 is a deficient number, since it is larger than the sum of its proper divisors (103124278747).

2211110210213 is a wasteful number, since it uses less digits than its factorization.

2211110210213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123676.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 2211110210213 its reverse (3120120111122), we get a palindrome (5331230321335).

Subtracting 2211110210213 from its reverse (3120120111122), we obtain a palindrome (909009900909).

The spelling of 2211110210213 in words is "two trillion, two hundred eleven billion, one hundred ten million, two hundred ten thousand, two hundred thirteen".