2001100011217 has 2 divisors, whose sum is σ = 2001100011218. Its totient is φ = 2001100011216.

The previous prime is 2001100011179. The next prime is 2001100011259. The reversal of 2001100011217 is 7121100011002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1313462692096 + 687637319121 = 1146064^2 + 829239^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2001100011217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2001100011217.

It is not a weakly prime, because it can be changed into another prime (2001100051217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000550005608 + 1000550005609.

It is an arithmetic number, because the mean of its divisors is an integer number (1000550005609).

Almost surely, 2^{2001100011217} is an apocalyptic number.

It is an amenable number.

2001100011217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001100011217 is an equidigital number, since it uses as much as digits as its factorization.

2001100011217 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 2001100011217 its reverse (7121100011002), we get a palindrome (9122200022219).

The spelling of 2001100011217 in words is "two trillion, one billion, one hundred million, eleven thousand, two hundred seventeen".