2102202000097 has 2 divisors, whose sum is σ = 2102202000098. Its totient is φ = 2102202000096.

The previous prime is 2102202000061. The next prime is 2102202000109. The reversal of 2102202000097 is 7900002022012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1783162293201 + 319039706896 = 1335351^2 + 564836^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102202000097 - 2¹⁹ = 2102201475809 is a prime.

It is not a weakly prime, because it can be changed into another prime (2102202006097) 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, 1051101000048 + 1051101000049.

It is an arithmetic number, because the mean of its divisors is an integer number (1051101000049).

Almost surely, 2^{2102202000097} is an apocalyptic number.

It is an amenable number.

2102202000097 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102202000097 is an equidigital number, since it uses as much as digits as its factorization.

2102202000097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 25.

The spelling of 2102202000097 in words is "two trillion, one hundred two billion, two hundred two million, ninety-seven", and thus it is an aban number.