10001111009101 has 2 divisors, whose sum is σ = 10001111009102. Its totient is φ = 10001111009100.

The previous prime is 10001111009083. The next prime is 10001111009119. The reversal of 10001111009101 is 10190011110001.

It is a balanced prime because it is at equal distance from previous prime (10001111009083) and next prime (10001111009119).

It can be written as a sum of positive squares in only one way, i.e., 8823864309001 + 1177246700100 = 2970499^2 + 1085010^2 .

It is an emirp because it is prime and its reverse (10190011110001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10001111009101 - 2¹¹ = 10001111007053 is a prime.

It is a super-2 number, since 2×10001111009101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001111009191) 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 as a sum of consecutive naturals, namely, 5000555504550 + 5000555504551.

It is an arithmetic number, because the mean of its divisors is an integer number (5000555504551).

Almost surely, 2^{10001111009101} is an apocalyptic number.

It is an amenable number.

10001111009101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001111009101 is an equidigital number, since it uses as much as digits as its factorization.

10001111009101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 16.

Adding to 10001111009101 its reverse (10190011110001), we get a palindrome (20191122119102).

The spelling of 10001111009101 in words is "ten trillion, one billion, one hundred eleven million, nine thousand, one hundred one".