122111002002193 has 2 divisors, whose sum is σ = 122111002002194. Its totient is φ = 122111002002192.

The previous prime is 122111002002173. The next prime is 122111002002271. The reversal of 122111002002193 is 391200200111221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115195721987329 + 6915280014864 = 10732927^2 + 2629692^2 .

It is a cyclic number.

It is not a de Polignac number, because 122111002002193 - 2¹³ = 122111001994001 is a prime.

It is a super-2 number, since 2×122111002002193² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122111002002113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61055501001096 + 61055501001097.

It is an arithmetic number, because the mean of its divisors is an integer number (61055501001097).

Almost surely, 2^{122111002002193} is an apocalyptic number.

It is an amenable number.

122111002002193 is a deficient number, since it is larger than the sum of its proper divisors (1).

122111002002193 is an equidigital number, since it uses as much as digits as its factorization.

122111002002193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 25.

The spelling of 122111002002193 in words is "one hundred twenty-two trillion, one hundred eleven billion, two million, two thousand, one hundred ninety-three".