100413021201217 has 2 divisors, whose sum is σ = 100413021201218. Its totient is φ = 100413021201216.

The previous prime is 100413021201173. The next prime is 100413021201257. The reversal of 100413021201217 is 712102120314001.

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., 94556156552001 + 5856864649216 = 9723999^2 + 2420096^2 .

It is a cyclic number.

It is not a de Polignac number, because 100413021201217 - 2⁷ = 100413021201089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100413021201191 and 100413021201200.

It is not a weakly prime, because it can be changed into another prime (100413021201257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50206510600608 + 50206510600609.

It is an arithmetic number, because the mean of its divisors is an integer number (50206510600609).

Almost surely, 2^{100413021201217} is an apocalyptic number.

It is an amenable number.

100413021201217 is a deficient number, since it is larger than the sum of its proper divisors (1).

100413021201217 is an equidigital number, since it uses as much as digits as its factorization.

100413021201217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 672, while the sum is 25.

Adding to 100413021201217 its reverse (712102120314001), we get a palindrome (812515141515218).

The spelling of 100413021201217 in words is "one hundred trillion, four hundred thirteen billion, twenty-one million, two hundred one thousand, two hundred seventeen".