100071627077 has 2 divisors, whose sum is σ = 100071627078. Its totient is φ = 100071627076.

The previous prime is 100071627037. The next prime is 100071627109. The reversal of 100071627077 is 770726170001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75500751076 + 24570876001 = 274774^2 + 156751^2 .

It is a cyclic number.

It is not a de Polignac number, because 100071627077 - 2⁸ = 100071626821 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100071627077.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100071627017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50035813538 + 50035813539.

It is an arithmetic number, because the mean of its divisors is an integer number (50035813539).

Almost surely, 2^100071627077 is an apocalyptic number.

It is an amenable number.

100071627077 is a deficient number, since it is larger than the sum of its proper divisors (1).

100071627077 is an equidigital number, since it uses as much as digits as its factorization.

100071627077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28812, while the sum is 38.

Adding to 100071627077 its reverse (770726170001), we get a palindrome (870797797078).

The spelling of 100071627077 in words is "one hundred billion, seventy-one million, six hundred twenty-seven thousand, seventy-seven".