20001020202001 has 2 divisors, whose sum is σ = 20001020202002. Its totient is φ = 20001020202000.

The previous prime is 20001020201983. The next prime is 20001020202011. The reversal of 20001020202001 is 10020202010002.

It is an a-pointer prime, because the next prime (20001020202011) can be obtained adding 20001020202001 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., 10983755930625 + 9017264271376 = 3314175^2 + 3002876^2 .

It is a cyclic number.

It is not a de Polignac number, because 20001020202001 - 2⁹ = 20001020201489 is a prime.

It is not a weakly prime, because it can be changed into another prime (20001020202011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10000510101000 + 10000510101001.

It is an arithmetic number, because the mean of its divisors is an integer number (10000510101001).

Almost surely, 2^{20001020202001} is an apocalyptic number.

It is an amenable number.

20001020202001 is a deficient number, since it is larger than the sum of its proper divisors (1).

20001020202001 is an equidigital number, since it uses as much as digits as its factorization.

20001020202001 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 20001020202001 its reverse (10020202010002), we get a palindrome (30021222212003).

The spelling of 20001020202001 in words is "twenty trillion, one billion, twenty million, two hundred two thousand, one".