1002012020201 has 2 divisors, whose sum is σ = 1002012020202. Its totient is φ = 1002012020200.

The previous prime is 1002012020173. The next prime is 1002012020213. The reversal of 1002012020201 is 1020202102001.

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., 659668840000 + 342343180201 = 812200^2 + 585101^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002012020201 - 2⁶ = 1002012020137 is a prime.

It is not a weakly prime, because it can be changed into another prime (1002012020281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501006010100 + 501006010101.

It is an arithmetic number, because the mean of its divisors is an integer number (501006010101).

Almost surely, 2^{1002012020201} is an apocalyptic number.

It is an amenable number.

1002012020201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002012020201 is an equidigital number, since it uses as much as digits as its factorization.

1002012020201 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 11.

Adding to 1002012020201 its reverse (1020202102001), we get a palindrome (2022214122202).

The spelling of 1002012020201 in words is "one trillion, two billion, twelve million, twenty thousand, two hundred one".