212112002020993 has 2 divisors, whose sum is σ = 212112002020994. Its totient is φ = 212112002020992.

The previous prime is 212112002020979. The next prime is 212112002021053. The reversal of 212112002020993 is 399020200211212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212105668567104 + 6333453889 = 14563848^2 + 79583^2 .

It is a cyclic number.

It is not a de Polignac number, because 212112002020993 - 2²¹ = 212111999923841 is a prime.

It is not a weakly prime, because it can be changed into another prime (212112002020693) 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, 106056001010496 + 106056001010497.

It is an arithmetic number, because the mean of its divisors is an integer number (106056001010497).

Almost surely, 2^{212112002020993} is an apocalyptic number.

It is an amenable number.

212112002020993 is a deficient number, since it is larger than the sum of its proper divisors (1).

212112002020993 is an equidigital number, since it uses as much as digits as its factorization.

212112002020993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 34.

The spelling of 212112002020993 in words is "two hundred twelve trillion, one hundred twelve billion, two million, twenty thousand, nine hundred ninety-three".