10001220100117 has 2 divisors, whose sum is σ = 10001220100118. Its totient is φ = 10001220100116.

The previous prime is 10001220100093. The next prime is 10001220100127. The reversal of 10001220100117 is 71100102210001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7758531151396 + 2242688948721 = 2785414^2 + 1497561^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001220100117 - 2³⁵ = 9966860361749 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10001220100117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001220100127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000610050058 + 5000610050059.

It is an arithmetic number, because the mean of its divisors is an integer number (5000610050059).

Almost surely, 2^{10001220100117} is an apocalyptic number.

It is an amenable number.

10001220100117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001220100117 is an equidigital number, since it uses as much as digits as its factorization.

10001220100117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 16.

Adding to 10001220100117 its reverse (71100102210001), we get a palindrome (81101322310118).

The spelling of 10001220100117 in words is "ten trillion, one billion, two hundred twenty million, one hundred thousand, one hundred seventeen".