122200021002001 has 2 divisors, whose sum is σ = 122200021002002. Its totient is φ = 122200021002000.

The previous prime is 122200021001983. The next prime is 122200021002049. The reversal of 122200021002001 is 100200120002221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96348653590225 + 25851367411776 = 9815735^2 + 5084424^2 .

It is a cyclic number.

It is not a de Polignac number, because 122200021002001 - 2⁵ = 122200021001969 is a prime.

It is not a weakly prime, because it can be changed into another prime (122200021002901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61100010501000 + 61100010501001.

It is an arithmetic number, because the mean of its divisors is an integer number (61100010501001).

Almost surely, 2^{122200021002001} is an apocalyptic number.

It is an amenable number.

122200021002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122200021002001 is an equidigital number, since it uses as much as digits as its factorization.

122200021002001 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 122200021002001 its reverse (100200120002221), we get a palindrome (222400141004222).

The spelling of 122200021002001 in words is "one hundred twenty-two trillion, two hundred billion, twenty-one million, two thousand, one".