100011001110077 has 2 divisors, whose sum is σ = 100011001110078. Its totient is φ = 100011001110076.

The previous prime is 100011001109983. The next prime is 100011001110131. The reversal of 100011001110077 is 770011100110001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96763991723161 + 3247009386916 = 9836869^2 + 1801946^2 .

It is an emirp because it is prime and its reverse (770011100110001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100011001110077 - 2¹⁶ = 100011001044541 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100011001140077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005500555038 + 50005500555039.

It is an arithmetic number, because the mean of its divisors is an integer number (50005500555039).

Almost surely, 2^{100011001110077} is an apocalyptic number.

It is an amenable number.

100011001110077 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011001110077 is an equidigital number, since it uses as much as digits as its factorization.

100011001110077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 49, while the sum is 20.

Adding to 100011001110077 its reverse (770011100110001), we get a palindrome (870022101220078).

The spelling of 100011001110077 in words is "one hundred trillion, eleven billion, one million, one hundred ten thousand, seventy-seven".