122200122001 has 2 divisors, whose sum is σ = 122200122002. Its totient is φ = 122200122000.

The previous prime is 122200121957. The next prime is 122200122013. The reversal of 122200122001 is 100221002221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105443078400 + 16757043601 = 324720^2 + 129449^2 .

It is a cyclic number.

It is not a de Polignac number, because 122200122001 - 2⁹ = 122200121489 is a prime.

It is not a weakly prime, because it can be changed into another prime (122200122061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61100061000 + 61100061001.

It is an arithmetic number, because the mean of its divisors is an integer number (61100061001).

Almost surely, 2^122200122001 is an apocalyptic number.

It is an amenable number.

122200122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122200122001 is an equidigital number, since it uses as much as digits as its factorization.

122200122001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 122200122001 its reverse (100221002221), we get a palindrome (222421124222).

The spelling of 122200122001 in words is "one hundred twenty-two billion, two hundred million, one hundred twenty-two thousand, one".