2102021209993 has 2 divisors, whose sum is σ = 2102021209994. Its totient is φ = 2102021209992.

The previous prime is 2102021209987. The next prime is 2102021210011. The reversal of 2102021209993 is 3999021202012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1371315945024 + 730705264969 = 1171032^2 + 854813^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102021209993 - 2⁹ = 2102021209481 is a prime.

It is not a weakly prime, because it can be changed into another prime (2102021209903) 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, 1051010604996 + 1051010604997.

It is an arithmetic number, because the mean of its divisors is an integer number (1051010604997).

Almost surely, 2^{2102021209993} is an apocalyptic number.

It is an amenable number.

2102021209993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102021209993 is an equidigital number, since it uses as much as digits as its factorization.

2102021209993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 40.

The spelling of 2102021209993 in words is "two trillion, one hundred two billion, twenty-one million, two hundred nine thousand, nine hundred ninety-three".