10111000001161 has 2 divisors, whose sum is σ = 10111000001162. Its totient is φ = 10111000001160.

The previous prime is 10111000001117. The next prime is 10111000001189. The reversal of 10111000001161 is 16110000011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10034126893561 + 76873107600 = 3167669^2 + 277260^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111000001161 - 2⁷ = 10111000001033 is a prime.

It is not a weakly prime, because it can be changed into another prime (10111000061161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055500000580 + 5055500000581.

It is an arithmetic number, because the mean of its divisors is an integer number (5055500000581).

Almost surely, 2^{10111000001161} is an apocalyptic number.

It is an amenable number.

10111000001161 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111000001161 is an equidigital number, since it uses as much as digits as its factorization.

10111000001161 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 13.

Adding to 10111000001161 its reverse (16110000011101), we get a palindrome (26221000012262).

The spelling of 10111000001161 in words is "ten trillion, one hundred eleven billion, one thousand, one hundred sixty-one".