100120102217 has 2 divisors, whose sum is σ = 100120102218. Its totient is φ = 100120102216.

The previous prime is 100120102111. The next prime is 100120102231. The reversal of 100120102217 is 712201021001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89075983936 + 11044118281 = 298456^2 + 105091^2 .

It is a cyclic number.

It is not a de Polignac number, because 100120102217 - 2²⁴ = 100103325001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100120102195 and 100120102204.

It is not a weakly prime, because it can be changed into another prime (100120102237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060051108 + 50060051109.

It is an arithmetic number, because the mean of its divisors is an integer number (50060051109).

Almost surely, 2^100120102217 is an apocalyptic number.

It is an amenable number.

100120102217 is a deficient number, since it is larger than the sum of its proper divisors (1).

100120102217 is an equidigital number, since it uses as much as digits as its factorization.

100120102217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 100120102217 its reverse (712201021001), we get a palindrome (812321123218).

The spelling of 100120102217 in words is "one hundred billion, one hundred twenty million, one hundred two thousand, two hundred seventeen".