101141012033 has 2 divisors, whose sum is σ = 101141012034. Its totient is φ = 101141012032.

The previous prime is 101141011999. The next prime is 101141012039. The reversal of 101141012033 is 330210141101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95290750864 + 5850261169 = 308692^2 + 76487^2 .

It is a cyclic number.

It is not a de Polignac number, because 101141012033 - 2¹⁰ = 101141011009 is a prime.

It is not a weakly prime, because it can be changed into another prime (101141012039) 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, 50570506016 + 50570506017.

It is an arithmetic number, because the mean of its divisors is an integer number (50570506017).

Almost surely, 2^101141012033 is an apocalyptic number.

It is an amenable number.

101141012033 is a deficient number, since it is larger than the sum of its proper divisors (1).

101141012033 is an equidigital number, since it uses as much as digits as its factorization.

101141012033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 101141012033 its reverse (330210141101), we get a palindrome (431351153134).

The spelling of 101141012033 in words is "one hundred one billion, one hundred forty-one million, twelve thousand, thirty-three".