122577097001 has 2 divisors, whose sum is σ = 122577097002. Its totient is φ = 122577097000.

The previous prime is 122577096997. The next prime is 122577097003. The reversal of 122577097001 is 100790775221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68029158976 + 54547938025 = 260824^2 + 233555^2 .

It is an emirp because it is prime and its reverse (100790775221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122577097001 - 2² = 122577096997 is a prime.

It is a Sophie Germain prime.

Together with 122577097003, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 122577097001.

It is not a weakly prime, because it can be changed into another prime (122577097003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61288548500 + 61288548501.

It is an arithmetic number, because the mean of its divisors is an integer number (61288548501).

Almost surely, 2^122577097001 is an apocalyptic number.

It is an amenable number.

122577097001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122577097001 is an equidigital number, since it uses as much as digits as its factorization.

122577097001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 61740, while the sum is 41.

The spelling of 122577097001 in words is "one hundred twenty-two billion, five hundred seventy-seven million, ninety-seven thousand, one".