2001220111117 has 2 divisors, whose sum is σ = 2001220111118. Its totient is φ = 2001220111116.

The previous prime is 2001220111061. The next prime is 2001220111171. The reversal of 2001220111117 is 7111110221002.

Together with next prime (2001220111171) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1624691833956 + 376528277161 = 1274634^2 + 613619^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001220111117 - 2¹⁵ = 2001220078349 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2001220111094 and 2001220111103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001220181117) 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, 1000610055558 + 1000610055559.

It is an arithmetic number, because the mean of its divisors is an integer number (1000610055559).

Almost surely, 2^{2001220111117} is an apocalyptic number.

It is an amenable number.

2001220111117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001220111117 is an equidigital number, since it uses as much as digits as its factorization.

2001220111117 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 2001220111117 its reverse (7111110221002), we get a palindrome (9112330332119).

The spelling of 2001220111117 in words is "two trillion, one billion, two hundred twenty million, one hundred eleven thousand, one hundred seventeen".