20001100110001 has 4 divisors (see below), whose sum is σ = 20104732753252. Its totient is φ = 19897467466752.

The previous prime is 20001100109923. The next prime is 20001100110007. The reversal of 20001100110001 is 10001100110002.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 12137029662976 + 7864070447025 = 3483824^2 + 2804295^2 .

It is a cyclic number.

It is not a de Polignac number, because 20001100110001 - 2¹¹ = 20001100107953 is a prime.

It is a super-2 number, since 2×20001100110001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20001100110007) 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 in 3 ways as a sum of consecutive naturals, for example, 51816321336 + ... + 51816321721.

It is an arithmetic number, because the mean of its divisors is an integer number (5026183188313).

Almost surely, 2^{20001100110001} is an apocalyptic number.

It is an amenable number.

20001100110001 is a deficient number, since it is larger than the sum of its proper divisors (103632643251).

20001100110001 is a wasteful number, since it uses less digits than its factorization.

20001100110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103632643250.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 20001100110001 its reverse (10001100110002), we get a palindrome (30002200220003).

Subtracting from 20001100110001 its reverse (10001100110002), we obtain a palindrome (9999999999999).

The spelling of 20001100110001 in words is "twenty trillion, one billion, one hundred million, one hundred ten thousand, one".