1011001100077 has 2 divisors, whose sum is σ = 1011001100078. Its totient is φ = 1011001100076.

The previous prime is 1011001100069. The next prime is 1011001100111. The reversal of 1011001100077 is 7700011001101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 851105882916 + 159895217161 = 922554^2 + 399869^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011001100077 - 2³ = 1011001100069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011001500077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505500550038 + 505500550039.

It is an arithmetic number, because the mean of its divisors is an integer number (505500550039).

Almost surely, 2^{1011001100077} is an apocalyptic number.

It is an amenable number.

1011001100077 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011001100077 is an equidigital number, since it uses as much as digits as its factorization.

1011001100077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 49, while the sum is 19.

Adding to 1011001100077 its reverse (7700011001101), we get a palindrome (8711012101178).

The spelling of 1011001100077 in words is "one trillion, eleven billion, one million, one hundred thousand, seventy-seven".