21222212121013 has 2 divisors, whose sum is σ = 21222212121014. Its totient is φ = 21222212121012.

The previous prime is 21222212120983. The next prime is 21222212121059. The reversal of 21222212121013 is 31012121222212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20777032261489 + 445179859524 = 4558183^2 + 667218^2 .

It is a cyclic number.

It is not a de Polignac number, because 21222212121013 - 2²⁹ = 21221675250101 is a prime.

It is a super-2 number, since 2×21222212121013² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21222212121613) 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 as a sum of consecutive naturals, namely, 10611106060506 + 10611106060507.

It is an arithmetic number, because the mean of its divisors is an integer number (10611106060507).

Almost surely, 2^{21222212121013} is an apocalyptic number.

It is an amenable number.

21222212121013 is a deficient number, since it is larger than the sum of its proper divisors (1).

21222212121013 is an equidigital number, since it uses as much as digits as its factorization.

21222212121013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 21222212121013 its reverse (31012121222212), we get a palindrome (52234333343225).

The spelling of 21222212121013 in words is "twenty-one trillion, two hundred twenty-two billion, two hundred twelve million, one hundred twenty-one thousand, thirteen".