2101304212993 has 2 divisors, whose sum is σ = 2101304212994. Its totient is φ = 2101304212992.

The previous prime is 2101304212979. The next prime is 2101304213087. The reversal of 2101304212993 is 3992124031012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1056315283984 + 1044988929009 = 1027772^2 + 1022247^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101304212993 - 2¹³ = 2101304204801 is a prime.

It is a super-2 number, since 2×2101304212993² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2101304212913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050652106496 + 1050652106497.

It is an arithmetic number, because the mean of its divisors is an integer number (1050652106497).

Almost surely, 2^{2101304212993} is an apocalyptic number.

It is an amenable number.

2101304212993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101304212993 is an equidigital number, since it uses as much as digits as its factorization.

2101304212993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 2101304212993 in words is "two trillion, one hundred one billion, three hundred four million, two hundred twelve thousand, nine hundred ninety-three".