100738671610909 has 2 divisors, whose sum is σ = 100738671610910. Its totient is φ = 100738671610908.

The previous prime is 100738671610823. The next prime is 100738671610931. The reversal of 100738671610909 is 909016176837001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71260526144025 + 29478145466884 = 8441595^2 + 5429378^2 .

It is a cyclic number.

It is not a de Polignac number, because 100738671610909 - 2¹⁵ = 100738671578141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100738671611909) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50369335805454 + 50369335805455.

It is an arithmetic number, because the mean of its divisors is an integer number (50369335805455).

Almost surely, 2^{100738671610909} is an apocalyptic number.

It is an amenable number.

100738671610909 is a deficient number, since it is larger than the sum of its proper divisors (1).

100738671610909 is an equidigital number, since it uses as much as digits as its factorization.

100738671610909 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3429216, while the sum is 58.

The spelling of 100738671610909 in words is "one hundred trillion, seven hundred thirty-eight billion, six hundred seventy-one million, six hundred ten thousand, nine hundred nine".