1101010100077 has 2 divisors, whose sum is σ = 1101010100078. Its totient is φ = 1101010100076.

The previous prime is 1101010100053. The next prime is 1101010100081. The reversal of 1101010100077 is 7700010101011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1083637278441 + 17372821636 = 1040979^2 + 131806^2 .

It is a cyclic number.

It is not a de Polignac number, because 1101010100077 - 2¹¹ = 1101010098029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1101010109077) 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, 550505050038 + 550505050039.

It is an arithmetic number, because the mean of its divisors is an integer number (550505050039).

Almost surely, 2^{1101010100077} is an apocalyptic number.

It is an amenable number.

1101010100077 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101010100077 is an equidigital number, since it uses as much as digits as its factorization.

1101010100077 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 1101010100077 its reverse (7700010101011), we get a palindrome (8801020201088).

The spelling of 1101010100077 in words is "one trillion, one hundred one billion, ten million, one hundred thousand, seventy-seven".