110011001010161 has 2 divisors, whose sum is σ = 110011001010162. Its totient is φ = 110011001010160.

The previous prime is 110011001010107. The next prime is 110011001010191. The reversal of 110011001010161 is 161010100110011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107320400517136 + 2690600493025 = 10359556^2 + 1640305^2 .

It is a cyclic number.

It is not a de Polignac number, because 110011001010161 - 2¹⁸ = 110011000748017 is a prime.

It is not a weakly prime, because it can be changed into another prime (110011001010191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55005500505080 + 55005500505081.

It is an arithmetic number, because the mean of its divisors is an integer number (55005500505081).

Almost surely, 2^{110011001010161} is an apocalyptic number.

It is an amenable number.

110011001010161 is a deficient number, since it is larger than the sum of its proper divisors (1).

110011001010161 is an equidigital number, since it uses as much as digits as its factorization.

110011001010161 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 14.

Adding to 110011001010161 its reverse (161010100110011), we get a palindrome (271021101120172).

The spelling of 110011001010161 in words is "one hundred ten trillion, eleven billion, one million, ten thousand, one hundred sixty-one".