122112111021221 has 2 divisors, whose sum is σ = 122112111021222. Its totient is φ = 122112111021220.

The previous prime is 122112111021191. The next prime is 122112111021283. The reversal of 122112111021221 is 122120111211221.

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., 103911315816100 + 18200795205121 = 10193690^2 + 4266239^2 .

It is a cyclic number.

It is not a de Polignac number, because 122112111021221 - 2¹⁴ = 122112111004837 is a prime.

It is a super-2 number, since 2×122112111021221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122112111021193 and 122112111021202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122112111081221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61056055510610 + 61056055510611.

It is an arithmetic number, because the mean of its divisors is an integer number (61056055510611).

Almost surely, 2^{122112111021221} is an apocalyptic number.

It is an amenable number.

122112111021221 is a deficient number, since it is larger than the sum of its proper divisors (1).

122112111021221 is an equidigital number, since it uses as much as digits as its factorization.

122112111021221 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 20.

Adding to 122112111021221 its reverse (122120111211221), we get a palindrome (244232222232442).

The spelling of 122112111021221 in words is "one hundred twenty-two trillion, one hundred twelve billion, one hundred eleven million, twenty-one thousand, two hundred twenty-one".