202122102001993 has 2 divisors, whose sum is σ = 202122102001994. Its totient is φ = 202122102001992.

The previous prime is 202122102001973. The next prime is 202122102002131. The reversal of 202122102001993 is 399100201221202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 117528408466704 + 84593693535289 = 10841052^2 + 9197483^2 .

It is a cyclic number.

It is not a de Polignac number, because 202122102001993 - 2¹⁷ = 202122101870921 is a prime.

It is not a weakly prime, because it can be changed into another prime (202122102001973) 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, 101061051000996 + 101061051000997.

It is an arithmetic number, because the mean of its divisors is an integer number (101061051000997).

Almost surely, 2^{202122102001993} is an apocalyptic number.

It is an amenable number.

202122102001993 is a deficient number, since it is larger than the sum of its proper divisors (1).

202122102001993 is an equidigital number, since it uses as much as digits as its factorization.

202122102001993 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 202122102001993 in words is "two hundred two trillion, one hundred twenty-two billion, one hundred two million, one thousand, nine hundred ninety-three".