100386133777 has 2 divisors, whose sum is σ = 100386133778. Its totient is φ = 100386133776.

The previous prime is 100386133733. The next prime is 100386133807. The reversal of 100386133777 is 777331683001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100271022336 + 115111441 = 316656^2 + 10729^2 .

It is a cyclic number.

It is not a de Polignac number, because 100386133777 - 2⁷ = 100386133649 is a prime.

It is not a weakly prime, because it can be changed into another prime (100386133717) 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, 50193066888 + 50193066889.

It is an arithmetic number, because the mean of its divisors is an integer number (50193066889).

Almost surely, 2^100386133777 is an apocalyptic number.

It is an amenable number.

100386133777 is a deficient number, since it is larger than the sum of its proper divisors (1).

100386133777 is an equidigital number, since it uses as much as digits as its factorization.

100386133777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 444528, while the sum is 46.

The spelling of 100386133777 in words is "one hundred billion, three hundred eighty-six million, one hundred thirty-three thousand, seven hundred seventy-seven".