101942722681 has 2 divisors, whose sum is σ = 101942722682. Its totient is φ = 101942722680.

The previous prime is 101942722667. The next prime is 101942722697. The reversal of 101942722681 is 186227249101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83523890025 + 18418832656 = 289005^2 + 135716^2 .

It is an emirp because it is prime and its reverse (186227249101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101942722681 - 2¹⁷ = 101942591609 is a prime.

It is a super-3 number, since 3×101942722681³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (101942722081) 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, 50971361340 + 50971361341.

It is an arithmetic number, because the mean of its divisors is an integer number (50971361341).

Almost surely, 2^101942722681 is an apocalyptic number.

It is an amenable number.

101942722681 is a deficient number, since it is larger than the sum of its proper divisors (1).

101942722681 is an equidigital number, since it uses as much as digits as its factorization.

101942722681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96768, while the sum is 43.

The spelling of 101942722681 in words is "one hundred one billion, nine hundred forty-two million, seven hundred twenty-two thousand, six hundred eighty-one".