22222221111121 has 2 divisors, whose sum is σ = 22222221111122. Its totient is φ = 22222221111120.

The previous prime is 22222221111049. The next prime is 22222221111131. The reversal of 22222221111121 is 12111112222222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20539205280400 + 1683015830721 = 4532020^2 + 1297311^2 .

It is a cyclic number.

It is not a de Polignac number, because 22222221111121 - 2¹⁹ = 22222220586833 is a prime.

It is a super-2 number, since 2×22222221111121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22222221111092 and 22222221111101.

It is not a weakly prime, because it can be changed into another prime (22222221111131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11111110555560 + 11111110555561.

It is an arithmetic number, because the mean of its divisors is an integer number (11111110555561).

Almost surely, 2^{22222221111121} is an apocalyptic number.

It is an amenable number.

22222221111121 is a deficient number, since it is larger than the sum of its proper divisors (1).

22222221111121 is an equidigital number, since it uses as much as digits as its factorization.

22222221111121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 256, while the sum is 22.

Adding to 22222221111121 its reverse (12111112222222), we get a palindrome (34333333333343).

The spelling of 22222221111121 in words is "twenty-two trillion, two hundred twenty-two billion, two hundred twenty-one million, one hundred eleven thousand, one hundred twenty-one".