1110001010161 has 2 divisors, whose sum is σ = 1110001010162. Its totient is φ = 1110001010160.

The previous prime is 1110001010147. The next prime is 1110001010171. The reversal of 1110001010161 is 1610101000111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1049856390625 + 60144619536 = 1024625^2 + 245244^2 .

It is a cyclic number.

It is not a de Polignac number, because 1110001010161 - 2¹¹ = 1110001008113 is a prime.

It is not a weakly prime, because it can be changed into another prime (1110001010171) 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, 555000505080 + 555000505081.

It is an arithmetic number, because the mean of its divisors is an integer number (555000505081).

Almost surely, 2^{1110001010161} is an apocalyptic number.

It is an amenable number.

1110001010161 is a deficient number, since it is larger than the sum of its proper divisors (1).

1110001010161 is an equidigital number, since it uses as much as digits as its factorization.

1110001010161 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 1110001010161 its reverse (1610101000111), we get a palindrome (2720102010272).

The spelling of 1110001010161 in words is "one trillion, one hundred ten billion, one million, ten thousand, one hundred sixty-one".