1020002020201 has 2 divisors, whose sum is σ = 1020002020202. Its totient is φ = 1020002020200.

The previous prime is 1020002020189. The next prime is 1020002020211. The reversal of 1020002020201 is 1020202000201.

It is an a-pointer prime, because the next prime (1020002020211) can be obtained adding 1020002020201 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1002801960000 + 17200060201 = 1001400^2 + 131149^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020002020201 - 2⁹ = 1020002019689 is a prime.

It is not a weakly prime, because it can be changed into another prime (1020002020211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510001010100 + 510001010101.

It is an arithmetic number, because the mean of its divisors is an integer number (510001010101).

Almost surely, 2^{1020002020201} is an apocalyptic number.

It is an amenable number.

1020002020201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020002020201 is an equidigital number, since it uses as much as digits as its factorization.

1020002020201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1020002020201 its reverse (1020202000201), we get a palindrome (2040204020402).

The spelling of 1020002020201 in words is "one trillion, twenty billion, two million, twenty thousand, two hundred one".