122002001057 has 2 divisors, whose sum is σ = 122002001058. Its totient is φ = 122002001056.

The previous prime is 122002000997. The next prime is 122002001059. The reversal of 122002001057 is 750100200221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97238572561 + 24763428496 = 311831^2 + 157364^2 .

It is an emirp because it is prime and its reverse (750100200221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122002001057 - 2¹⁴ = 122001984673 is a prime.

Together with 122002001059, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (122002001059) 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, 61001000528 + 61001000529.

It is an arithmetic number, because the mean of its divisors is an integer number (61001000529).

Almost surely, 2^122002001057 is an apocalyptic number.

It is an amenable number.

122002001057 is a deficient number, since it is larger than the sum of its proper divisors (1).

122002001057 is an equidigital number, since it uses as much as digits as its factorization.

122002001057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 280, while the sum is 20.

Adding to 122002001057 its reverse (750100200221), we get a palindrome (872102201278).

The spelling of 122002001057 in words is "one hundred twenty-two billion, two million, one thousand, fifty-seven".