100207885727473 has 2 divisors, whose sum is σ = 100207885727474. Its totient is φ = 100207885727472.

The previous prime is 100207885727387. The next prime is 100207885727483. The reversal of 100207885727473 is 374727588702001.

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., 72391628338929 + 27816257388544 = 8508327^2 + 5274112^2 .

It is a cyclic number.

It is not a de Polignac number, because 100207885727473 - 2⁴¹ = 98008862471921 is a prime.

It is not a weakly prime, because it can be changed into another prime (100207885727483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50103942863736 + 50103942863737.

It is an arithmetic number, because the mean of its divisors is an integer number (50103942863737).

Almost surely, 2^{100207885727473} is an apocalyptic number.

It is an amenable number.

100207885727473 is a deficient number, since it is larger than the sum of its proper divisors (1).

100207885727473 is an equidigital number, since it uses as much as digits as its factorization.

100207885727473 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36879360, while the sum is 61.

The spelling of 100207885727473 in words is "one hundred trillion, two hundred seven billion, eight hundred eighty-five million, seven hundred twenty-seven thousand, four hundred seventy-three".