2101223212289 has 2 divisors, whose sum is σ = 2101223212290. Its totient is φ = 2101223212288.

The previous prime is 2101223212267. The next prime is 2101223212411. The reversal of 2101223212289 is 9822123221012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1941856185025 + 159367027264 = 1393505^2 + 399208^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101223212289 - 2³⁶ = 2032503735553 is a prime.

It is not a weakly prime, because it can be changed into another prime (2101223212889) 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, 1050611606144 + 1050611606145.

It is an arithmetic number, because the mean of its divisors is an integer number (1050611606145).

Almost surely, 2^{2101223212289} is an apocalyptic number.

It is an amenable number.

2101223212289 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101223212289 is an equidigital number, since it uses as much as digits as its factorization.

2101223212289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 35.

The spelling of 2101223212289 in words is "two trillion, one hundred one billion, two hundred twenty-three million, two hundred twelve thousand, two hundred eighty-nine".