1100111333261 has 2 divisors, whose sum is σ = 1100111333262. Its totient is φ = 1100111333260.

The previous prime is 1100111333219. The next prime is 1100111333263. The reversal of 1100111333261 is 1623331110011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1028611782025 + 71499551236 = 1014205^2 + 267394^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100111333261 - 2¹⁰ = 1100111332237 is a prime.

Together with 1100111333263, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1100111333263) 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, 550055666630 + 550055666631.

It is an arithmetic number, because the mean of its divisors is an integer number (550055666631).

Almost surely, 2^{1100111333261} is an apocalyptic number.

It is an amenable number.

1100111333261 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100111333261 is an equidigital number, since it uses as much as digits as its factorization.

1100111333261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 1100111333261 its reverse (1623331110011), we get a palindrome (2723442443272).

The spelling of 1100111333261 in words is "one trillion, one hundred billion, one hundred eleven million, three hundred thirty-three thousand, two hundred sixty-one".