122200300101001 has 2 divisors, whose sum is σ = 122200300101002. Its totient is φ = 122200300101000.

The previous prime is 122200300100941. The next prime is 122200300101031. The reversal of 122200300101001 is 100101003002221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106981289766976 + 15219010334025 = 10343176^2 + 3901155^2 .

It is a cyclic number.

It is not a de Polignac number, because 122200300101001 - 2¹¹ = 122200300098953 is a prime.

It is not a weakly prime, because it can be changed into another prime (122200300101031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61100150050500 + 61100150050501.

It is an arithmetic number, because the mean of its divisors is an integer number (61100150050501).

Almost surely, 2^{122200300101001} is an apocalyptic number.

It is an amenable number.

122200300101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122200300101001 is an equidigital number, since it uses as much as digits as its factorization.

122200300101001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 122200300101001 its reverse (100101003002221), we get a palindrome (222301303103222).

The spelling of 122200300101001 in words is "one hundred twenty-two trillion, two hundred billion, three hundred million, one hundred one thousand, one".