2122420403657 has 2 divisors, whose sum is σ = 2122420403658. Its totient is φ = 2122420403656.

The previous prime is 2122420403483. The next prime is 2122420403683. The reversal of 2122420403657 is 7563040242212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2117944659856 + 4475743801 = 1455316^2 + 66901^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122420403657 - 2²⁰ = 2122419355081 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2122420403657.

It is not a weakly prime, because it can be changed into another prime (2122420405657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061210201828 + 1061210201829.

It is an arithmetic number, because the mean of its divisors is an integer number (1061210201829).

Almost surely, 2^{2122420403657} is an apocalyptic number.

It is an amenable number.

2122420403657 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122420403657 is an equidigital number, since it uses as much as digits as its factorization.

2122420403657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 161280, while the sum is 38.

Adding to 2122420403657 its reverse (7563040242212), we get a palindrome (9685460645869).

The spelling of 2122420403657 in words is "two trillion, one hundred twenty-two billion, four hundred twenty million, four hundred three thousand, six hundred fifty-seven".