100001102221117 has 2 divisors, whose sum is σ = 100001102221118. Its totient is φ = 100001102221116.

The previous prime is 100001102221093. The next prime is 100001102221159. The reversal of 100001102221117 is 711122201100001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99937729696996 + 63372524121 = 9996886^2 + 251739^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001102221117 - 2¹⁹ = 100001101696829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100001102221094 and 100001102221103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100001102224117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000551110558 + 50000551110559.

It is an arithmetic number, because the mean of its divisors is an integer number (50000551110559).

Almost surely, 2^{100001102221117} is an apocalyptic number.

It is an amenable number.

100001102221117 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001102221117 is an equidigital number, since it uses as much as digits as its factorization.

100001102221117 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 19.

Adding to 100001102221117 its reverse (711122201100001), we get a palindrome (811123303321118).

The spelling of 100001102221117 in words is "one hundred trillion, one billion, one hundred two million, two hundred twenty-one thousand, one hundred seventeen".