122501125001 has 2 divisors, whose sum is σ = 122501125002. Its totient is φ = 122501125000.

The previous prime is 122501124901. The next prime is 122501125003. The reversal of 122501125001 is 100521105221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68235888400 + 54265236601 = 261220^2 + 232949^2 .

It is an emirp because it is prime and its reverse (100521105221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122501125001 is a prime.

Together with 122501125003, 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 (122501125003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61250562500 + 61250562501.

It is an arithmetic number, because the mean of its divisors is an integer number (61250562501).

Almost surely, 2^122501125001 is an apocalyptic number.

It is an amenable number.

122501125001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122501125001 is an equidigital number, since it uses as much as digits as its factorization.

122501125001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 200, while the sum is 20.

The spelling of 122501125001 in words is "one hundred twenty-two billion, five hundred one million, one hundred twenty-five thousand, one".