1010100193 has 2 divisors, whose sum is σ = 1010100194. Its totient is φ = 1010100192.

The previous prime is 1010100181. The next prime is 1010100199. The reversal of 1010100193 is 3910010101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 812079009 + 198021184 = 28497^2 + 14072^2 .

It is an emirp because it is prime and its reverse (3910010101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1010100193 - 2⁹ = 1010099681 is a prime.

It is not a weakly prime, because it can be changed into another prime (1010100199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505050096 + 505050097.

It is an arithmetic number, because the mean of its divisors is an integer number (505050097).

Almost surely, 2^1010100193 is an apocalyptic number.

It is an amenable number.

1010100193 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010100193 is an equidigital number, since it uses as much as digits as its factorization.

1010100193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 16.

The square root of 1010100193 is about 31782.0734534423. The cubic root of 1010100193 is about 1003.3554592997.

Adding to 1010100193 its reverse (3910010101), we get a palindrome (4920110294).

The spelling of 1010100193 in words is "one billion, ten million, one hundred thousand, one hundred ninety-three".