122112202011221 has 2 divisors, whose sum is σ = 122112202011222. Its totient is φ = 122112202011220.

The previous prime is 122112202011211. The next prime is 122112202011251. The reversal of 122112202011221 is 122110202211221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87289574866321 + 34822627144900 = 9342889^2 + 5901070^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122112202011221 is a prime.

It is a super-2 number, since 2×122112202011221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122112202011193 and 122112202011202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122112202011211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61056101005610 + 61056101005611.

It is an arithmetic number, because the mean of its divisors is an integer number (61056101005611).

Almost surely, 2^{122112202011221} is an apocalyptic number.

It is an amenable number.

122112202011221 is a deficient number, since it is larger than the sum of its proper divisors (1).

122112202011221 is an equidigital number, since it uses as much as digits as its factorization.

122112202011221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 122112202011221 its reverse (122110202211221), we get a palindrome (244222404222442).

The spelling of 122112202011221 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred two million, eleven thousand, two hundred twenty-one".