20002100212817 has 2 divisors, whose sum is σ = 20002100212818. Its totient is φ = 20002100212816.

The previous prime is 20002100212799. The next prime is 20002100212823. The reversal of 20002100212817 is 71821200120002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19260152272321 + 741947940496 = 4388639^2 + 861364^2 .

It is a cyclic number.

It is not a de Polignac number, because 20002100212817 - 2⁸ = 20002100212561 is a prime.

It is not a weakly prime, because it can be changed into another prime (20002100211817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10001050106408 + 10001050106409.

It is an arithmetic number, because the mean of its divisors is an integer number (10001050106409).

Almost surely, 2^{20002100212817} is an apocalyptic number.

It is an amenable number.

20002100212817 is a deficient number, since it is larger than the sum of its proper divisors (1).

20002100212817 is an equidigital number, since it uses as much as digits as its factorization.

20002100212817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 896, while the sum is 26.

Adding to 20002100212817 its reverse (71821200120002), we get a palindrome (91823300332819).

The spelling of 20002100212817 in words is "twenty trillion, two billion, one hundred million, two hundred twelve thousand, eight hundred seventeen".