1001201123057 has 2 divisors, whose sum is σ = 1001201123058. Its totient is φ = 1001201123056.

The previous prime is 1001201123047. The next prime is 1001201123071. The reversal of 1001201123057 is 7503211021001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 624872859121 + 376328263936 = 790489^2 + 613456^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001201123057 - 2¹⁴ = 1001201106673 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001201123047) 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, 500600561528 + 500600561529.

It is an arithmetic number, because the mean of its divisors is an integer number (500600561529).

Almost surely, 2^{1001201123057} is an apocalyptic number.

It is an amenable number.

1001201123057 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001201123057 is an equidigital number, since it uses as much as digits as its factorization.

1001201123057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 23.

Adding to 1001201123057 its reverse (7503211021001), we get a palindrome (8504412144058).

The spelling of 1001201123057 in words is "one trillion, one billion, two hundred one million, one hundred twenty-three thousand, fifty-seven".