100010000999941 has 2 divisors, whose sum is σ = 100010000999942. Its totient is φ = 100010000999940.

The previous prime is 100010000999939. The next prime is 100010001000023. The reversal of 100010000999941 is 149999000010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65262630803841 + 34747370196100 = 8078529^2 + 5894690^2 .

It is a cyclic number.

It is not a de Polignac number, because 100010000999941 - 2¹ = 100010000999939 is a prime.

Together with 100010000999939, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100010000969941) 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, 50005000499970 + 50005000499971.

It is an arithmetic number, because the mean of its divisors is an integer number (50005000499971).

Almost surely, 2^{100010000999941} is an apocalyptic number.

It is an amenable number.

100010000999941 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010000999941 is an equidigital number, since it uses as much as digits as its factorization.

100010000999941 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26244, while the sum is 43.

The spelling of 100010000999941 in words is "one hundred trillion, ten billion, nine hundred ninety-nine thousand, nine hundred forty-one".