22001022111221 has 2 divisors, whose sum is σ = 22001022111222. Its totient is φ = 22001022111220.

The previous prime is 22001022111149. The next prime is 22001022111223. The reversal of 22001022111221 is 12211122010022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21741340143121 + 259681968100 = 4662761^2 + 509590^2 .

It is a cyclic number.

It is not a de Polignac number, because 22001022111221 - 2⁴² = 17602975600117 is a prime.

It is a super-3 number, since 3×22001022111221³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 22001022111223, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22001022111221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22001022111223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11000511055610 + 11000511055611.

It is an arithmetic number, because the mean of its divisors is an integer number (11000511055611).

Almost surely, 2^{22001022111221} is an apocalyptic number.

It is an amenable number.

22001022111221 is a deficient number, since it is larger than the sum of its proper divisors (1).

22001022111221 is an equidigital number, since it uses as much as digits as its factorization.

22001022111221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 22001022111221 its reverse (12211122010022), we get a palindrome (34212144121243).

The spelling of 22001022111221 in words is "twenty-two trillion, one billion, twenty-two million, one hundred eleven thousand, two hundred twenty-one".