122212022202001 has 2 divisors, whose sum is σ = 122212022202002. Its totient is φ = 122212022202000.

The previous prime is 122212022201917. The next prime is 122212022202013. The reversal of 122212022202001 is 100202220212221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104594065311376 + 17617956890625 = 10227124^2 + 4197375^2 .

It is a cyclic number.

It is not a de Polignac number, because 122212022202001 - 2⁴³ = 113415929179793 is a prime.

It is a super-3 number, since 3×122212022202001³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122212022202001.

It is not a weakly prime, because it can be changed into another prime (122212022205001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61106011101000 + 61106011101001.

It is an arithmetic number, because the mean of its divisors is an integer number (61106011101001).

Almost surely, 2^{122212022202001} is an apocalyptic number.

It is an amenable number.

122212022202001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122212022202001 is an equidigital number, since it uses as much as digits as its factorization.

122212022202001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 122212022202001 its reverse (100202220212221), we get a palindrome (222414242414222).

The spelling of 122212022202001 in words is "one hundred twenty-two trillion, two hundred twelve billion, twenty-two million, two hundred two thousand, one".