20001122211101 has 8 divisors (see below), whose sum is σ = 21177956549880. Its totient is φ = 18824320954368.

The previous prime is 20001122211097. The next prime is 20001122211131. The reversal of 20001122211101 is 10111222110002.

It can be written as a sum of positive squares in 4 ways, for example, as 9230057686201 + 10771064524900 = 3038101^2 + 3281930^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 20001122211101 - 2² = 20001122211097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001122211131) 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 7 ways as a sum of consecutive naturals, for example, 7020356 + ... + 9449213.

It is an arithmetic number, because the mean of its divisors is an integer number (2647244568735).

Almost surely, 2^{20001122211101} is an apocalyptic number.

It is an amenable number.

20001122211101 is a deficient number, since it is larger than the sum of its proper divisors (1176834338779).

20001122211101 is a wasteful number, since it uses less digits than its factorization.

20001122211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16541023.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 20001122211101 its reverse (10111222110002), we get a palindrome (30112344321103).

The spelling of 20001122211101 in words is "twenty trillion, one billion, one hundred twenty-two million, two hundred eleven thousand, one hundred one".