1101100001161 has 2 divisors, whose sum is σ = 1101100001162. Its totient is φ = 1101100001160.

The previous prime is 1101100001159. The next prime is 1101100001237. The reversal of 1101100001161 is 1611000011011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 924914975625 + 176185025536 = 961725^2 + 419744^2 .

It is a cyclic number.

It is not a de Polignac number, because 1101100001161 - 2¹ = 1101100001159 is a prime.

Together with 1101100001159, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1101100001101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550550000580 + 550550000581.

It is an arithmetic number, because the mean of its divisors is an integer number (550550000581).

Almost surely, 2^{1101100001161} is an apocalyptic number.

It is an amenable number.

1101100001161 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101100001161 is an equidigital number, since it uses as much as digits as its factorization.

1101100001161 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 13.

Adding to 1101100001161 its reverse (1611000011011), we get a palindrome (2712100012172).

The spelling of 1101100001161 in words is "one trillion, one hundred one billion, one hundred million, one thousand, one hundred sixty-one".