1021000001201 has 2 divisors, whose sum is σ = 1021000001202. Its totient is φ = 1021000001200.

The previous prime is 1021000001141. The next prime is 1021000001227.

1021000001201 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 766192104976 + 254807896225 = 875324^2 + 504785^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 1021000001201 - 2¹⁰ = 1021000000177 is a prime.

It is not a weakly prime, because it can be changed into another prime (1021000000201) 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, 510500000600 + 510500000601.

It is an arithmetic number, because the mean of its divisors is an integer number (510500000601).

Almost surely, 2^{1021000001201} is an apocalyptic number.

It is an amenable number.

1021000001201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021000001201 is an equidigital number, since it uses as much as digits as its factorization.

1021000001201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 8.

It can be divided in two parts, 102100000 and 1201, that added together give a palindrome (102101201).

The spelling of 1021000001201 in words is "one trillion, twenty-one billion, one thousand, two hundred one".