1100111000977 has 2 divisors, whose sum is σ = 1100111000978. Its totient is φ = 1100111000976.

The previous prime is 1100111000969. The next prime is 1100111001007. The reversal of 1100111000977 is 7790001110011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1062004447296 + 38106553681 = 1030536^2 + 195209^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100111000977 - 2³ = 1100111000969 is a prime.

It is not a weakly prime, because it can be changed into another prime (1100111000077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550055500488 + 550055500489.

It is an arithmetic number, because the mean of its divisors is an integer number (550055500489).

Almost surely, 2^{1100111000977} is an apocalyptic number.

It is an amenable number.

1100111000977 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100111000977 is an equidigital number, since it uses as much as digits as its factorization.

1100111000977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 441, while the sum is 28.

Adding to 1100111000977 its reverse (7790001110011), we get a palindrome (8890112110988).

The spelling of 1100111000977 in words is "one trillion, one hundred billion, one hundred eleven million, nine hundred seventy-seven", and thus it is an aban number.