2100212122289 has 2 divisors, whose sum is σ = 2100212122290. Its totient is φ = 2100212122288.

The previous prime is 2100212122243. The next prime is 2100212122339. The reversal of 2100212122289 is 9822212120012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1894738485025 + 205473637264 = 1376495^2 + 453292^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100212122289 - 2³² = 2095917154993 is a prime.

It is not a weakly prime, because it can be changed into another prime (2100212122219) 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, 1050106061144 + 1050106061145.

It is an arithmetic number, because the mean of its divisors is an integer number (1050106061145).

Almost surely, 2^{2100212122289} is an apocalyptic number.

It is an amenable number.

2100212122289 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100212122289 is an equidigital number, since it uses as much as digits as its factorization.

2100212122289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 32.

The spelling of 2100212122289 in words is "two trillion, one hundred billion, two hundred twelve million, one hundred twenty-two thousand, two hundred eighty-nine".