1012221010193 has 2 divisors, whose sum is σ = 1012221010194. Its totient is φ = 1012221010192.

The previous prime is 1012221010183. The next prime is 1012221010201. The reversal of 1012221010193 is 3910101222101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 724229934289 + 287991075904 = 851017^2 + 536648^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012221010193 - 2⁸ = 1012221009937 is a prime.

It is a super-2 number, since 2×1012221010193² (a number of 25 digits) contains 22 as substring.

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 (1012221010183) 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, 506110505096 + 506110505097.

It is an arithmetic number, because the mean of its divisors is an integer number (506110505097).

Almost surely, 2^{1012221010193} is an apocalyptic number.

It is an amenable number.

1012221010193 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012221010193 is an equidigital number, since it uses as much as digits as its factorization.

1012221010193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 23.

Adding to 1012221010193 its reverse (3910101222101), we get a palindrome (4922322232294).

The spelling of 1012221010193 in words is "one trillion, twelve billion, two hundred twenty-one million, ten thousand, one hundred ninety-three".