1100101101161 has 2 divisors, whose sum is σ = 1100101101162. Its totient is φ = 1100101101160.

The previous prime is 1100101101149. The next prime is 1100101101167. The reversal of 1100101101161 is 1611011010011.

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., 1027068741136 + 73032360025 = 1013444^2 + 270245^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100101101161 - 2³⁸ = 825223194217 is a prime.

It is not a weakly prime, because it can be changed into another prime (1100101101167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550050550580 + 550050550581.

It is an arithmetic number, because the mean of its divisors is an integer number (550050550581).

Almost surely, 2^{1100101101161} is an apocalyptic number.

It is an amenable number.

1100101101161 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100101101161 is an equidigital number, since it uses as much as digits as its factorization.

1100101101161 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 14.

Adding to 1100101101161 its reverse (1611011010011), we get a palindrome (2711112111172).

The spelling of 1100101101161 in words is "one trillion, one hundred billion, one hundred one million, one hundred one thousand, one hundred sixty-one".