1021000011001 has 2 divisors, whose sum is σ = 1021000011002. Its totient is φ = 1021000011000.

The previous prime is 1021000010993. The next prime is 1021000011011. The reversal of 1021000011001 is 1001100001201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 638482500601 + 382517510400 = 799051^2 + 618480^2 .

It is an emirp because it is prime and its reverse (1001100001201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1021000011001 - 2³ = 1021000010993 is a prime.

It is not a weakly prime, because it can be changed into another prime (1021000011011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510500005500 + 510500005501.

It is an arithmetic number, because the mean of its divisors is an integer number (510500005501).

Almost surely, 2^{1021000011001} is an apocalyptic number.

It is an amenable number.

1021000011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021000011001 is an equidigital number, since it uses as much as digits as its factorization.

1021000011001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1021000011001 its reverse (1001100001201), we get a palindrome (2022100012202).

The spelling of 1021000011001 in words is "one trillion, twenty-one billion, eleven thousand, one".