20121021112001 has 4 divisors (see below), whose sum is σ = 20121031435092. Its totient is φ = 20121010788912.

The previous prime is 20121021111949. The next prime is 20121021112039. The reversal of 20121021112001 is 10021112012102.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 7546366114225 + 12574654997776 = 2747065^2 + 3546076^2 .

It is a cyclic number.

It is not a de Polignac number, because 20121021112001 - 2⁶ = 20121021111937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20121021112051) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1249526 + ... + 6465551.

It is an arithmetic number, because the mean of its divisors is an integer number (5030257858773).

Almost surely, 2^{20121021112001} is an apocalyptic number.

It is an amenable number.

20121021112001 is a deficient number, since it is larger than the sum of its proper divisors (10323091).

20121021112001 is an equidigital number, since it uses as much as digits as its factorization.

20121021112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10323090.

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

Adding to 20121021112001 its reverse (10021112012102), we get a palindrome (30142133124103).

The spelling of 20121021112001 in words is "twenty trillion, one hundred twenty-one billion, twenty-one million, one hundred twelve thousand, one".