1100111100961 has 2 divisors, whose sum is σ = 1100111100962. Its totient is φ = 1100111100960.

The previous prime is 1100111100919. The next prime is 1100111101021. The reversal of 1100111100961 is 1690011110011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 969171336225 + 130939764736 = 984465^2 + 361856^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100111100961 - 2⁹ = 1100111100449 is a prime.

It is not a weakly prime, because it can be changed into another prime (1100111100901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550055550480 + 550055550481.

It is an arithmetic number, because the mean of its divisors is an integer number (550055550481).

Almost surely, 2^{1100111100961} is an apocalyptic number.

It is an amenable number.

1100111100961 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100111100961 is an equidigital number, since it uses as much as digits as its factorization.

1100111100961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 22.

Adding to 1100111100961 its reverse (1690011110011), we get a palindrome (2790122210972).

The spelling of 1100111100961 in words is "one trillion, one hundred billion, one hundred eleven million, one hundred thousand, nine hundred sixty-one".