1021000101241 has 2 divisors, whose sum is σ = 1021000101242. Its totient is φ = 1021000101240.

The previous prime is 1021000101217. The next prime is 1021000101257. The reversal of 1021000101241 is 1421010001201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 835752498025 + 185247603216 = 914195^2 + 430404^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021000101241 - 2¹⁹ = 1020999576953 is a prime.

It is not a weakly prime, because it can be changed into another prime (1021000131241) 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, 510500050620 + 510500050621.

It is an arithmetic number, because the mean of its divisors is an integer number (510500050621).

Almost surely, 2^{1021000101241} is an apocalyptic number.

It is an amenable number.

1021000101241 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021000101241 is an equidigital number, since it uses as much as digits as its factorization.

1021000101241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1021000101241 its reverse (1421010001201), we get a palindrome (2442010102442).

The spelling of 1021000101241 in words is "one trillion, twenty-one billion, one hundred one thousand, two hundred forty-one".