101140041441193 has 2 divisors, whose sum is σ = 101140041441194. Its totient is φ = 101140041441192.

The previous prime is 101140041441181. The next prime is 101140041441277. The reversal of 101140041441193 is 391144140041101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93940543597849 + 7199497843344 = 9692293^2 + 2683188^2 .

It is a cyclic number.

It is not a de Polignac number, because 101140041441193 - 2¹³ = 101140041433001 is a prime.

It is not a weakly prime, because it can be changed into another prime (101140041411193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50570020720596 + 50570020720597.

It is an arithmetic number, because the mean of its divisors is an integer number (50570020720597).

Almost surely, 2^{101140041441193} is an apocalyptic number.

It is an amenable number.

101140041441193 is a deficient number, since it is larger than the sum of its proper divisors (1).

101140041441193 is an equidigital number, since it uses as much as digits as its factorization.

101140041441193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 34.

Adding to 101140041441193 its reverse (391144140041101), we get a palindrome (492284181482294).

The spelling of 101140041441193 in words is "one hundred one trillion, one hundred forty billion, forty-one million, four hundred forty-one thousand, one hundred ninety-three".