20002112212001 has 2 divisors, whose sum is σ = 20002112212002. Its totient is φ = 20002112212000.

The previous prime is 20002112211989. The next prime is 20002112212003. The reversal of 20002112212001 is 10021221120002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10609358354401 + 9392753857600 = 3257201^2 + 3064760^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20002112212001 is a prime.

Together with 20002112212003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (20002112212003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10001056106000 + 10001056106001.

It is an arithmetic number, because the mean of its divisors is an integer number (10001056106001).

Almost surely, 2^{20002112212001} is an apocalyptic number.

It is an amenable number.

20002112212001 is a deficient number, since it is larger than the sum of its proper divisors (1).

20002112212001 is an equidigital number, since it uses as much as digits as its factorization.

20002112212001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20002112212001 its reverse (10021221120002), we get a palindrome (30023333332003).

The spelling of 20002112212001 in words is "twenty trillion, two billion, one hundred twelve million, two hundred twelve thousand, one".