10020020002001 has 2 divisors, whose sum is σ = 10020020002002. Its totient is φ = 10020020002000.

The previous prime is 10020020001973. The next prime is 10020020002009. The reversal of 10020020002001 is 10020002002001.

It is an a-pointer prime, because the next prime (10020020002009) can be obtained adding 10020020002001 to its sum of digits (8).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5089626240400 + 4930393761601 = 2256020^2 + 2220449^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10020020002001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10020020002001.

It is not a weakly prime, because it can be changed into another prime (10020020002009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010010001000 + 5010010001001.

It is an arithmetic number, because the mean of its divisors is an integer number (5010010001001).

Almost surely, 2^{10020020002001} is an apocalyptic number.

It is an amenable number.

10020020002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10020020002001 is an equidigital number, since it uses as much as digits as its factorization.

10020020002001 is an evil number, because the sum of its binary digits is even.

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

Adding to 10020020002001 its reverse (10020002002001), we get a palindrome (20040022004002).

The spelling of 10020020002001 in words is "ten trillion, twenty billion, twenty million, two thousand, one".