100420607641729 has 2 divisors, whose sum is σ = 100420607641730. Its totient is φ = 100420607641728.

The previous prime is 100420607641559. The next prime is 100420607641747. The reversal of 100420607641729 is 927146706024001.

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., 100397854936129 + 22752705600 = 10019873^2 + 150840^2 .

It is a cyclic number.

It is not a de Polignac number, because 100420607641729 - 2¹³ = 100420607633537 is a prime.

It is not a weakly prime, because it can be changed into another prime (100420607641129) 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, 50210303820864 + 50210303820865.

It is an arithmetic number, because the mean of its divisors is an integer number (50210303820865).

Almost surely, 2^{100420607641729} is an apocalyptic number.

It is an amenable number.

100420607641729 is a deficient number, since it is larger than the sum of its proper divisors (1).

100420607641729 is an equidigital number, since it uses as much as digits as its factorization.

100420607641729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1016064, while the sum is 49.

The spelling of 100420607641729 in words is "one hundred trillion, four hundred twenty billion, six hundred seven million, six hundred forty-one thousand, seven hundred twenty-nine".