2122102420001 has 2 divisors, whose sum is σ = 2122102420002. Its totient is φ = 2122102420000.

The previous prime is 2122102419919. The next prime is 2122102420013. The reversal of 2122102420001 is 1000242012212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2095140451600 + 26961968401 = 1447460^2 + 164201^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122102420001 - 2¹⁰ = 2122102418977 is a prime.

It is not a weakly prime, because it can be changed into another prime (2122102422001) 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, 1061051210000 + 1061051210001.

It is an arithmetic number, because the mean of its divisors is an integer number (1061051210001).

Almost surely, 2^{2122102420001} is an apocalyptic number.

It is an amenable number.

2122102420001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122102420001 is an equidigital number, since it uses as much as digits as its factorization.

2122102420001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2122102420001 its reverse (1000242012212), we get a palindrome (3122344432213).

The spelling of 2122102420001 in words is "two trillion, one hundred twenty-two billion, one hundred two million, four hundred twenty thousand, one".