2102121210689 has 2 divisors, whose sum is σ = 2102121210690. Its totient is φ = 2102121210688.

The previous prime is 2102121210667. The next prime is 2102121210703. The reversal of 2102121210689 is 9860121212012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2024075290000 + 78045920689 = 1422700^2 + 279367^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2102121210689 is a prime.

It is not a weakly prime, because it can be changed into another prime (2102121210589) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051060605344 + 1051060605345.

It is an arithmetic number, because the mean of its divisors is an integer number (1051060605345).

Almost surely, 2^{2102121210689} is an apocalyptic number.

It is an amenable number.

2102121210689 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102121210689 is an equidigital number, since it uses as much as digits as its factorization.

2102121210689 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 35.

The spelling of 2102121210689 in words is "two trillion, one hundred two billion, one hundred twenty-one million, two hundred ten thousand, six hundred eighty-nine".