122221011001 has 2 divisors, whose sum is σ = 122221011002. Its totient is φ = 122221011000.

The previous prime is 122221010987. The next prime is 122221011013. The reversal of 122221011001 is 100110122221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120894594601 + 1326416400 = 347699^2 + 36420^2 .

It is an emirp because it is prime and its reverse (100110122221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122221011001 - 2¹³ = 122221002809 is a prime.

It is not a weakly prime, because it can be changed into another prime (122221015001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61110505500 + 61110505501.

It is an arithmetic number, because the mean of its divisors is an integer number (61110505501).

Almost surely, 2^122221011001 is an apocalyptic number.

It is an amenable number.

122221011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122221011001 is an equidigital number, since it uses as much as digits as its factorization.

122221011001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122221011001 its reverse (100110122221), we get a palindrome (222331133222).

The spelling of 122221011001 in words is "one hundred twenty-two billion, two hundred twenty-one million, eleven thousand, one".