2122220220213 has 16 divisors (see below), whose sum is σ = 2913771241280. Its totient is φ = 1372943126016.

The previous prime is 2122220220199. The next prime is 2122220220223. The reversal of 2122220220213 is 3120220222212.

It is not a de Polignac number, because 2122220220213 - 2⁸ = 2122220219957 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2122220220213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122220220223) 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, 25181020 + ... + 25265157.

It is an arithmetic number, because the mean of its divisors is an integer number (182110702580).

Almost surely, 2^{2122220220213} is an apocalyptic number.

It is an amenable number.

2122220220213 is a deficient number, since it is larger than the sum of its proper divisors (791551021067).

2122220220213 is a wasteful number, since it uses less digits than its factorization.

2122220220213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50446596.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 2122220220213 its reverse (3120220222212), we get a palindrome (5242440442425).

The spelling of 2122220220213 in words is "two trillion, one hundred twenty-two billion, two hundred twenty million, two hundred twenty thousand, two hundred thirteen".