100481397969681 has 27 divisors (see below), whose sum is σ = 147644095517659. Its totient is φ = 65851052829792.

The previous prime is 100481397969671. The next prime is 100481397969727. The reversal of 100481397969681 is 186969793184001.

The square root of 100481397969681 is 10024041.

It is a perfect power (a square), and thus also a powerful number.

100481397969681 is a `hidden beast` number, since 1 + 0 + 0 + 481 + 3 + 9 + 7 + 9 + 69 + 6 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 81534669419025 + 18946728550656 = 9029655^2 + 4352784^2 .

It is not a de Polignac number, because 100481397969681 - 2¹⁹ = 100481397445393 is a prime.

It is a super-2 number, since 2×100481397969681² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100481397969671) 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 in 26 ways as a sum of consecutive naturals, for example, 1774226941 + ... + 1774283573.

Almost surely, 2^{100481397969681} is an apocalyptic number.

100481397969681 is the 10024041-st square number.

100481397969681 is the 5012021-st centered octagonal number.

It is an amenable number.

100481397969681 is a deficient number, since it is larger than the sum of its proper divisors (47162697547978).

100481397969681 is an frugal number, since it uses more digits than its factorization.

100481397969681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113390 (or 56695 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 72.

The spelling of 100481397969681 in words is "one hundred trillion, four hundred eighty-one billion, three hundred ninety-seven million, nine hundred sixty-nine thousand, six hundred eighty-one".