122132333301001 has 2 divisors, whose sum is σ = 122132333301002. Its totient is φ = 122132333301000.

The previous prime is 122132333300921. The next prime is 122132333301113. The reversal of 122132333301001 is 100103333231221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122087560856976 + 44772444025 = 11049324^2 + 211595^2 .

It is an emirp because it is prime and its reverse (100103333231221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122132333301001 - 2¹⁵ = 122132333268233 is a prime.

It is not a weakly prime, because it can be changed into another prime (122132339301001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61066166650500 + 61066166650501.

It is an arithmetic number, because the mean of its divisors is an integer number (61066166650501).

Almost surely, 2^{122132333301001} is an apocalyptic number.

It is an amenable number.

122132333301001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122132333301001 is an equidigital number, since it uses as much as digits as its factorization.

122132333301001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 122132333301001 its reverse (100103333231221), we get a palindrome (222235666532222).

The spelling of 122132333301001 in words is "one hundred twenty-two trillion, one hundred thirty-two billion, three hundred thirty-three million, three hundred one thousand, one".