122112101213 has 2 divisors, whose sum is σ = 122112101214. Its totient is φ = 122112101212.

The previous prime is 122112101203. The next prime is 122112101231. The reversal of 122112101213 is 312101211221.

It is a happy number.

Together with next prime (122112101231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72747260089 + 49364841124 = 269717^2 + 222182^2 .

It is a cyclic number.

It is not a de Polignac number, because 122112101213 - 2¹⁶ = 122112035677 is a prime.

It is a super-2 number, since 2×122112101213² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122112101191 and 122112101200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122112101203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61056050606 + 61056050607.

It is an arithmetic number, because the mean of its divisors is an integer number (61056050607).

Almost surely, 2^122112101213 is an apocalyptic number.

It is an amenable number.

122112101213 is a deficient number, since it is larger than the sum of its proper divisors (1).

122112101213 is an equidigital number, since it uses as much as digits as its factorization.

122112101213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 122112101213 its reverse (312101211221), we get a palindrome (434213312434).

The spelling of 122112101213 in words is "one hundred twenty-two billion, one hundred twelve million, one hundred one thousand, two hundred thirteen".