20201101002001 has 2 divisors, whose sum is σ = 20201101002002. Its totient is φ = 20201101002000.

The previous prime is 20201101001957. The next prime is 20201101002007. The reversal of 20201101002001 is 10020010110202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17487651966976 + 2713449035025 = 4181824^2 + 1647255^2 .

It is a cyclic number.

It is not a de Polignac number, because 20201101002001 - 2¹¹ = 20201100999953 is a prime.

It is not a weakly prime, because it can be changed into another prime (20201101002007) 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, 10100550501000 + 10100550501001.

It is an arithmetic number, because the mean of its divisors is an integer number (10100550501001).

Almost surely, 2^{20201101002001} is an apocalyptic number.

It is an amenable number.

20201101002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

20201101002001 is an equidigital number, since it uses as much as digits as its factorization.

20201101002001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20201101002001 its reverse (10020010110202), we get a palindrome (30221111112203).

It can be divided in two parts, 2020110 and 1002001, that added together give a triangular number (3022111 = T₂₄₅₈).

The spelling of 20201101002001 in words is "twenty trillion, two hundred one billion, one hundred one million, two thousand, one".