2001221012117 has 2 divisors, whose sum is σ = 2001221012118. Its totient is φ = 2001221012116.

The previous prime is 2001221011981. The next prime is 2001221012159. The reversal of 2001221012117 is 7112101221002.

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., 1453678730596 + 547542281521 = 1205686^2 + 739961^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001221012117 - 2¹⁴ = 2001220995733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001221002117) 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, 1000610506058 + 1000610506059.

It is an arithmetic number, because the mean of its divisors is an integer number (1000610506059).

Almost surely, 2^{2001221012117} is an apocalyptic number.

It is an amenable number.

2001221012117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001221012117 is an equidigital number, since it uses as much as digits as its factorization.

2001221012117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 2001221012117 its reverse (7112101221002), we get a palindrome (9113322233119).

The spelling of 2001221012117 in words is "two trillion, one billion, two hundred twenty-one million, twelve thousand, one hundred seventeen".