101412341081 has 2 divisors, whose sum is σ = 101412341082. Its totient is φ = 101412341080.

The previous prime is 101412341057. The next prime is 101412341087. The reversal of 101412341081 is 180143214101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61295856400 + 40116484681 = 247580^2 + 200291^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101412341081 is a prime.

It is a super-2 number, since 2×101412341081² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101412341081.

It is not a weakly prime, because it can be changed into another prime (101412341087) 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, 50706170540 + 50706170541.

It is an arithmetic number, because the mean of its divisors is an integer number (50706170541).

Almost surely, 2^101412341081 is an apocalyptic number.

It is an amenable number.

101412341081 is a deficient number, since it is larger than the sum of its proper divisors (1).

101412341081 is an equidigital number, since it uses as much as digits as its factorization.

101412341081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 26.

Adding to 101412341081 its reverse (180143214101), we get a palindrome (281555555182).

The spelling of 101412341081 in words is "one hundred one billion, four hundred twelve million, three hundred forty-one thousand, eighty-one".