100125309192977 has 2 divisors, whose sum is σ = 100125309192978. Its totient is φ = 100125309192976.

The previous prime is 100125309192973. The next prime is 100125309193003. The reversal of 100125309192977 is 779291903521001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70018754733841 + 30106554459136 = 8367721^2 + 5486944^2 .

It is a cyclic number.

It is not a de Polignac number, because 100125309192977 - 2² = 100125309192973 is a prime.

It is a super-2 number, since 2×100125309192977² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100125309192973) 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, 50062654596488 + 50062654596489.

It is an arithmetic number, because the mean of its divisors is an integer number (50062654596489).

Almost surely, 2^{100125309192977} is an apocalyptic number.

It is an amenable number.

100125309192977 is a deficient number, since it is larger than the sum of its proper divisors (1).

100125309192977 is an equidigital number, since it uses as much as digits as its factorization.

100125309192977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2143260, while the sum is 56.

The spelling of 100125309192977 in words is "one hundred trillion, one hundred twenty-five billion, three hundred nine million, one hundred ninety-two thousand, nine hundred seventy-seven".