2102122021729 has 2 divisors, whose sum is σ = 2102122021730. Its totient is φ = 2102122021728.

The previous prime is 2102122021711. The next prime is 2102122021763. The reversal of 2102122021729 is 9271202212012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2101499619025 + 622402704 = 1449655^2 + 24948^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2102122021729 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2102122021729.

It is not a weakly prime, because it can be changed into another prime (2102122021709) 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, 1051061010864 + 1051061010865.

It is an arithmetic number, because the mean of its divisors is an integer number (1051061010865).

Almost surely, 2^{2102122021729} is an apocalyptic number.

It is an amenable number.

2102122021729 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102122021729 is an equidigital number, since it uses as much as digits as its factorization.

2102122021729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 31.

The spelling of 2102122021729 in words is "two trillion, one hundred two billion, one hundred twenty-two million, twenty-one thousand, seven hundred twenty-nine".