2102201329993 has 2 divisors, whose sum is σ = 2102201329994. Its totient is φ = 2102201329992.

The previous prime is 2102201329981. The next prime is 2102201330017. The reversal of 2102201329993 is 3999231022012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1455420262464 + 646781067529 = 1206408^2 + 804227^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2102201329993 is a prime.

It is not a weakly prime, because it can be changed into another prime (2102201329913) 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, 1051100664996 + 1051100664997.

It is an arithmetic number, because the mean of its divisors is an integer number (1051100664997).

Almost surely, 2^{2102201329993} is an apocalyptic number.

It is an amenable number.

2102201329993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102201329993 is an equidigital number, since it uses as much as digits as its factorization.

2102201329993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 104976, while the sum is 43.

The spelling of 2102201329993 in words is "two trillion, one hundred two billion, two hundred one million, three hundred twenty-nine thousand, nine hundred ninety-three".