100337673341081 has 12 divisors (see below), whose sum is σ = 110288794774116. Its totient is φ = 91215836917920.

The previous prime is 100337673341077. The next prime is 100337673341119. The reversal of 100337673341081 is 180143376733001.

It can be written as a sum of positive squares in 2 ways, for example, as 42500750947600 + 57836922393481 = 6519260^2 + 7605059^2 .

It is not a de Polignac number, because 100337673341081 - 2² = 100337673341077 is a prime.

It is a super-3 number, since 3×100337673341081³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100337673301081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63721595 + ... + 65277231.

It is an arithmetic number, because the mean of its divisors is an integer number (9190732897843).

Almost surely, 2^{100337673341081} is an apocalyptic number.

100337673341081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100337673341081 is a deficient number, since it is larger than the sum of its proper divisors (9951121433035).

100337673341081 is a wasteful number, since it uses less digits than its factorization.

100337673341081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088712 (or 2088701 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 47.

The spelling of 100337673341081 in words is "one hundred trillion, three hundred thirty-seven billion, six hundred seventy-three million, three hundred forty-one thousand, eighty-one".