20001020102001 has 12 divisors (see below), whose sum is σ = 28890412099380. Its totient is φ = 13333990449120.

The previous prime is 20001020101967. The next prime is 20001020102017. The reversal of 20001020102001 is 10020102010002.

It can be written as a sum of positive squares in 2 ways, for example, as 3113728459776 + 16887291642225 = 1764576^2 + 4109415^2 .

It is not a de Polignac number, because 20001020102001 - 2⁷ = 20001020101873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20001020102081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4873555 + ... + 7984583.

It is an arithmetic number, because the mean of its divisors is an integer number (2407534341615).

Almost surely, 2^{20001020102001} is an apocalyptic number.

It is an amenable number.

20001020102001 is a deficient number, since it is larger than the sum of its proper divisors (8889391997379).

20001020102001 is a wasteful number, since it uses less digits than its factorization.

20001020102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3825376 (or 3825373 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20001020102001 its reverse (10020102010002), we get a palindrome (30021122112003).

The spelling of 20001020102001 in words is "twenty trillion, one billion, twenty million, one hundred two thousand, one".