2102002012217 has 2 divisors, whose sum is σ = 2102002012218. Its totient is φ = 2102002012216.

The previous prime is 2102002012139. The next prime is 2102002012223. The reversal of 2102002012217 is 7122102002012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1899487611961 + 202514400256 = 1378219^2 + 450016^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102002012217 - 2³⁰ = 2100928270393 is a prime.

It is not a weakly prime, because it can be changed into another prime (2102002072217) 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, 1051001006108 + 1051001006109.

It is an arithmetic number, because the mean of its divisors is an integer number (1051001006109).

Almost surely, 2^{2102002012217} is an apocalyptic number.

It is an amenable number.

2102002012217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102002012217 is an equidigital number, since it uses as much as digits as its factorization.

2102002012217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 20.

Adding to 2102002012217 its reverse (7122102002012), we get a palindrome (9224104014229).

The spelling of 2102002012217 in words is "two trillion, one hundred two billion, two million, twelve thousand, two hundred seventeen".