22121012111221 has 2 divisors, whose sum is σ = 22121012111222. Its totient is φ = 22121012111220.

The previous prime is 22121012111207. The next prime is 22121012111309. The reversal of 22121012111221 is 12211121012122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12711977328996 + 9409034782225 = 3565386^2 + 3067415^2 .

It is a cyclic number.

It is not a de Polignac number, because 22121012111221 - 2³³ = 22112422176629 is a prime.

It is a super-2 number, since 2×22121012111221² (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 (22121012111021) 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, 11060506055610 + 11060506055611.

It is an arithmetic number, because the mean of its divisors is an integer number (11060506055611).

Almost surely, 2^{22121012111221} is an apocalyptic number.

It is an amenable number.

22121012111221 is a deficient number, since it is larger than the sum of its proper divisors (1).

22121012111221 is an equidigital number, since it uses as much as digits as its factorization.

22121012111221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 22121012111221 its reverse (12211121012122), we get a palindrome (34332133123343).

The spelling of 22121012111221 in words is "twenty-two trillion, one hundred twenty-one billion, twelve million, one hundred eleven thousand, two hundred twenty-one".