1001011001161 has 2 divisors, whose sum is σ = 1001011001162. Its totient is φ = 1001011001160.

The previous prime is 1001011001153. The next prime is 1001011001183. The reversal of 1001011001161 is 1611001101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 737271236025 + 263739765136 = 858645^2 + 513556^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001011001161 - 2³ = 1001011001153 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001011001191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500505500580 + 500505500581.

It is an arithmetic number, because the mean of its divisors is an integer number (500505500581).

Almost surely, 2^{1001011001161} is an apocalyptic number.

It is an amenable number.

1001011001161 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001011001161 is an equidigital number, since it uses as much as digits as its factorization.

1001011001161 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 1001011001161 its reverse (1611001101001), we get a palindrome (2612012102162).

The spelling of 1001011001161 in words is "one trillion, one billion, eleven million, one thousand, one hundred sixty-one".