10001111111161 has 2 divisors, whose sum is σ = 10001111111162. Its totient is φ = 10001111111160.

The previous prime is 10001111111143. The next prime is 10001111111179. The reversal of 10001111111161 is 16111111110001.

It is a balanced prime because it is at equal distance from previous prime (10001111111143) and next prime (10001111111179).

It can be written as a sum of positive squares in only one way, i.e., 9561972955536 + 439138155625 = 3092244^2 + 662675^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001111111161 - 2¹⁵ = 10001111078393 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001111181161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000555555580 + 5000555555581.

It is an arithmetic number, because the mean of its divisors is an integer number (5000555555581).

Almost surely, 2^{10001111111161} is an apocalyptic number.

It is an amenable number.

10001111111161 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001111111161 is an equidigital number, since it uses as much as digits as its factorization.

10001111111161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 16.

Adding to 10001111111161 its reverse (16111111110001), we get a palindrome (26112222221162).

The spelling of 10001111111161 in words is "ten trillion, one billion, one hundred eleven million, one hundred eleven thousand, one hundred sixty-one".