1010101009193 has 2 divisors, whose sum is σ = 1010101009194. Its totient is φ = 1010101009192.

The previous prime is 1010101009189. The next prime is 1010101009201. The reversal of 1010101009193 is 3919001010101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 554655541504 + 455445467689 = 744752^2 + 674867^2 .

It is an emirp because it is prime and its reverse (3919001010101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1010101009193 - 2² = 1010101009189 is a prime.

It is a super-2 number, since 2×1010101009193² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1010101006193) 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, 505050504596 + 505050504597.

It is an arithmetic number, because the mean of its divisors is an integer number (505050504597).

Almost surely, 2^{1010101009193} is an apocalyptic number.

It is an amenable number.

1010101009193 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010101009193 is an equidigital number, since it uses as much as digits as its factorization.

1010101009193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 26.

Adding to 1010101009193 its reverse (3919001010101), we get a palindrome (4929102019294).

The spelling of 1010101009193 in words is "one trillion, ten billion, one hundred one million, nine thousand, one hundred ninety-three".