122120122120001 has 2 divisors, whose sum is σ = 122120122120002. Its totient is φ = 122120122120000.

The previous prime is 122120122119977. The next prime is 122120122120019. The reversal of 122120122120001 is 100021221021221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69394297944976 + 52725824175025 = 8330324^2 + 7261255^2 .

It is a cyclic number.

It is not a de Polignac number, because 122120122120001 - 2⁶ = 122120122119937 is a prime.

It is not a weakly prime, because it can be changed into another prime (122120122140001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61060061060000 + 61060061060001.

It is an arithmetic number, because the mean of its divisors is an integer number (61060061060001).

Almost surely, 2^{122120122120001} is an apocalyptic number.

It is an amenable number.

122120122120001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122120122120001 is an equidigital number, since it uses as much as digits as its factorization.

122120122120001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122120122120001 its reverse (100021221021221), we get a palindrome (222141343141222).

The spelling of 122120122120001 in words is "one hundred twenty-two trillion, one hundred twenty billion, one hundred twenty-two million, one hundred twenty thousand, one".