10101540210193 has 2 divisors, whose sum is σ = 10101540210194. Its totient is φ = 10101540210192.

The previous prime is 10101540210161. The next prime is 10101540210217. The reversal of 10101540210193 is 39101204510101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8253169445889 + 1848370764304 = 2872833^2 + 1359548^2 .

It is an emirp because it is prime and its reverse (39101204510101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10101540210193 - 2⁵ = 10101540210161 is a prime.

It is a super-2 number, since 2×10101540210193² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10101540210793) 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, 5050770105096 + 5050770105097.

It is an arithmetic number, because the mean of its divisors is an integer number (5050770105097).

Almost surely, 2^{10101540210193} is an apocalyptic number.

It is an amenable number.

10101540210193 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101540210193 is an equidigital number, since it uses as much as digits as its factorization.

10101540210193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 28.

Adding to 10101540210193 its reverse (39101204510101), we get a palindrome (49202744720294).

The spelling of 10101540210193 in words is "ten trillion, one hundred one billion, five hundred forty million, two hundred ten thousand, one hundred ninety-three".