1003112121217 has 2 divisors, whose sum is σ = 1003112121218. Its totient is φ = 1003112121216.

The previous prime is 1003112121197. The next prime is 1003112121223. The reversal of 1003112121217 is 7121212113001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 991774982641 + 11337138576 = 995879^2 + 106476^2 .

It is a cyclic number.

It is not a de Polignac number, because 1003112121217 - 2¹¹ = 1003112119169 is a prime.

It is a super-2 number, since 2×1003112121217² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1003112121317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501556060608 + 501556060609.

It is an arithmetic number, because the mean of its divisors is an integer number (501556060609).

Almost surely, 2^{1003112121217} is an apocalyptic number.

It is an amenable number.

1003112121217 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003112121217 is an equidigital number, since it uses as much as digits as its factorization.

1003112121217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 22.

Adding to 1003112121217 its reverse (7121212113001), we get a palindrome (8124324234218).

The spelling of 1003112121217 in words is "one trillion, three billion, one hundred twelve million, one hundred twenty-one thousand, two hundred seventeen".