1022122012193 has 2 divisors, whose sum is σ = 1022122012194. Its totient is φ = 1022122012192.

The previous prime is 1022122012187. The next prime is 1022122012211. The reversal of 1022122012193 is 3912102212201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 850023149089 + 172098863104 = 921967^2 + 414848^2 .

It is an emirp because it is prime and its reverse (3912102212201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1022122012193 - 2²⁴ = 1022105234977 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1022122012103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511061006096 + 511061006097.

It is an arithmetic number, because the mean of its divisors is an integer number (511061006097).

Almost surely, 2^{1022122012193} is an apocalyptic number.

It is an amenable number.

1022122012193 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022122012193 is an equidigital number, since it uses as much as digits as its factorization.

1022122012193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 26.

Adding to 1022122012193 its reverse (3912102212201), we get a palindrome (4934224224394).

The spelling of 1022122012193 in words is "one trillion, twenty-two billion, one hundred twenty-two million, twelve thousand, one hundred ninety-three".