100011101077 has 2 divisors, whose sum is σ = 100011101078. Its totient is φ = 100011101076.

The previous prime is 100011101039. The next prime is 100011101101. The reversal of 100011101077 is 770101110001.

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., 96173794161 + 3837306916 = 310119^2 + 61946^2 .

It is a cyclic number.

It is not a de Polignac number, because 100011101077 - 2⁷ = 100011100949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100011102077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005550538 + 50005550539.

It is an arithmetic number, because the mean of its divisors is an integer number (50005550539).

Almost surely, 2^100011101077 is an apocalyptic number.

It is an amenable number.

100011101077 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011101077 is an equidigital number, since it uses as much as digits as its factorization.

100011101077 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 19.

Adding to 100011101077 its reverse (770101110001), we get a palindrome (870112211078).

The spelling of 100011101077 in words is "one hundred billion, eleven million, one hundred one thousand, seventy-seven".