10010443301101 has 2 divisors, whose sum is σ = 10010443301102. Its totient is φ = 10010443301100.

The previous prime is 10010443300981. The next prime is 10010443301147. The reversal of 10010443301101 is 10110334401001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5646944268900 + 4363499032201 = 2376330^2 + 2088899^2 .

It is an emirp because it is prime and its reverse (10110334401001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10010443301101 - 2¹³ = 10010443292909 is a prime.

It is a super-3 number, since 3×10010443301101³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010443301401) 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, 5005221650550 + 5005221650551.

It is an arithmetic number, because the mean of its divisors is an integer number (5005221650551).

Almost surely, 2^{10010443301101} is an apocalyptic number.

It is an amenable number.

10010443301101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010443301101 is an equidigital number, since it uses as much as digits as its factorization.

10010443301101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 10010443301101 its reverse (10110334401001), we get a palindrome (20120777702102).

The spelling of 10010443301101 in words is "ten trillion, ten billion, four hundred forty-three million, three hundred one thousand, one hundred one".