100540223302681 has 2 divisors, whose sum is σ = 100540223302682. Its totient is φ = 100540223302680.

The previous prime is 100540223302669. The next prime is 100540223302709. The reversal of 100540223302681 is 186203322045001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77929770350656 + 22610452952025 = 8827784^2 + 4755045^2 .

It is a cyclic number.

It is not a de Polignac number, because 100540223302681 - 2³⁵ = 100505863564313 is a prime.

It is a super-2 number, since 2×100540223302681² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100540223302681.

It is not a weakly prime, because it can be changed into another prime (100540223302601) 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, 50270111651340 + 50270111651341.

It is an arithmetic number, because the mean of its divisors is an integer number (50270111651341).

Almost surely, 2^{100540223302681} is an apocalyptic number.

It is an amenable number.

100540223302681 is a deficient number, since it is larger than the sum of its proper divisors (1).

100540223302681 is an equidigital number, since it uses as much as digits as its factorization.

100540223302681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69120, while the sum is 37.

Adding to 100540223302681 its reverse (186203322045001), we get a palindrome (286743545347682).

The spelling of 100540223302681 in words is "one hundred trillion, five hundred forty billion, two hundred twenty-three million, three hundred two thousand, six hundred eighty-one".