21112210012001 has 2 divisors, whose sum is σ = 21112210012002. Its totient is φ = 21112210012000.

The previous prime is 21112210011887. The next prime is 21112210012043. The reversal of 21112210012001 is 10021001221112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19869707427025 + 1242502584976 = 4457545^2 + 1114676^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21112210012001 is a prime.

It is not a weakly prime, because it can be changed into another prime (21112210011001) 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, 10556105006000 + 10556105006001.

It is an arithmetic number, because the mean of its divisors is an integer number (10556105006001).

Almost surely, 2^{21112210012001} is an apocalyptic number.

It is an amenable number.

21112210012001 is a deficient number, since it is larger than the sum of its proper divisors (1).

21112210012001 is an equidigital number, since it uses as much as digits as its factorization.

21112210012001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 21112210012001 its reverse (10021001221112), we get a palindrome (31133211233113).

The spelling of 21112210012001 in words is "twenty-one trillion, one hundred twelve billion, two hundred ten million, twelve thousand, one".