100727213117 has 2 divisors, whose sum is σ = 100727213118. Its totient is φ = 100727213116.

The previous prime is 100727213089. The next prime is 100727213231. The reversal of 100727213117 is 711312727001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64956677956 + 35770535161 = 254866^2 + 189131^2 .

It is a cyclic number.

It is not a de Polignac number, because 100727213117 - 2¹² = 100727209021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100727218117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50363606558 + 50363606559.

It is an arithmetic number, because the mean of its divisors is an integer number (50363606559).

Almost surely, 2^100727213117 is an apocalyptic number.

It is an amenable number.

100727213117 is a deficient number, since it is larger than the sum of its proper divisors (1).

100727213117 is an equidigital number, since it uses as much as digits as its factorization.

100727213117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4116, while the sum is 32.

The spelling of 100727213117 in words is "one hundred billion, seven hundred twenty-seven million, two hundred thirteen thousand, one hundred seventeen".