1101001100977 has 2 divisors, whose sum is σ = 1101001100978. Its totient is φ = 1101001100976.

The previous prime is 1101001100959. The next prime is 1101001101023. The reversal of 1101001100977 is 7790011001011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 829308920896 + 271692180081 = 910664^2 + 521241^2 .

It is a cyclic number.

It is not a de Polignac number, because 1101001100977 - 2¹¹ = 1101001098929 is a prime.

It is not a weakly prime, because it can be changed into another prime (1101001100377) 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, 550500550488 + 550500550489.

It is an arithmetic number, because the mean of its divisors is an integer number (550500550489).

Almost surely, 2^{1101001100977} is an apocalyptic number.

It is an amenable number.

1101001100977 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101001100977 is an equidigital number, since it uses as much as digits as its factorization.

1101001100977 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 1101001100977 its reverse (7790011001011), we get a palindrome (8891012101988).

The spelling of 1101001100977 in words is "one trillion, one hundred one billion, one million, one hundred thousand, nine hundred seventy-seven".