1021001201057 has 2 divisors, whose sum is σ = 1021001201058. Its totient is φ = 1021001201056.

The previous prime is 1021001201021. The next prime is 1021001201069. The reversal of 1021001201057 is 7501021001201.

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., 1012295564641 + 8705636416 = 1006129^2 + 93304^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021001201057 - 2¹² = 1021001196961 is a prime.

It is not a weakly prime, because it can be changed into another prime (1021001204057) 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, 510500600528 + 510500600529.

It is an arithmetic number, because the mean of its divisors is an integer number (510500600529).

Almost surely, 2^{1021001201057} is an apocalyptic number.

It is an amenable number.

1021001201057 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021001201057 is an equidigital number, since it uses as much as digits as its factorization.

1021001201057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 140, while the sum is 20.

Adding to 1021001201057 its reverse (7501021001201), we get a palindrome (8522022202258).

The spelling of 1021001201057 in words is "one trillion, twenty-one billion, one million, two hundred one thousand, fifty-seven".