122221192001 has 2 divisors, whose sum is σ = 122221192002. Its totient is φ = 122221192000.

The previous prime is 122221191991. The next prime is 122221192019. The reversal of 122221192001 is 100291122221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101075669776 + 21145522225 = 317924^2 + 145415^2 .

It is a cyclic number.

It is not a de Polignac number, because 122221192001 - 2²⁶ = 122154083137 is a prime.

It is not a weakly prime, because it can be changed into another prime (122221192021) 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, 61110596000 + 61110596001.

It is an arithmetic number, because the mean of its divisors is an integer number (61110596001).

Almost surely, 2^122221192001 is an apocalyptic number.

It is an amenable number.

122221192001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122221192001 is an equidigital number, since it uses as much as digits as its factorization.

122221192001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 122221192001 in words is "one hundred twenty-two billion, two hundred twenty-one million, one hundred ninety-two thousand, one".