10111011101161 has 2 divisors, whose sum is σ = 10111011101162. Its totient is φ = 10111011101160.

The previous prime is 10111011101099. The next prime is 10111011101197. The reversal of 10111011101161 is 16110111011101.

10111011101161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7590267441936 + 2520743659225 = 2755044^2 + 1587685^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111011101161 - 2⁷ = 10111011101033 is a prime.

It is not a weakly prime, because it can be changed into another prime (10111011101461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055505550580 + 5055505550581.

It is an arithmetic number, because the mean of its divisors is an integer number (5055505550581).

Almost surely, 2^{10111011101161} is an apocalyptic number.

It is an amenable number.

10111011101161 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111011101161 is an equidigital number, since it uses as much as digits as its factorization.

10111011101161 is an evil number, because the sum of its binary digits is even.

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

Adding to 10111011101161 its reverse (16110111011101), we get a palindrome (26221122112262).

It can be divided in two parts, 10111011101 and 161, that multiplied together give a palindrome (1627872787261).

The spelling of 10111011101161 in words is "ten trillion, one hundred eleven billion, eleven million, one hundred one thousand, one hundred sixty-one".