1001033221117 has 2 divisors, whose sum is σ = 1001033221118. Its totient is φ = 1001033221116.

The previous prime is 1001033221087. The next prime is 1001033221129. The reversal of 1001033221117 is 7111223301001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 545605299801 + 455427921316 = 738651^2 + 674854^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001033221117 is a prime.

It is a super-2 number, since 2×1001033221117² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001033291117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500516610558 + 500516610559.

It is an arithmetic number, because the mean of its divisors is an integer number (500516610559).

Almost surely, 2^{1001033221117} is an apocalyptic number.

It is an amenable number.

1001033221117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001033221117 is an equidigital number, since it uses as much as digits as its factorization.

1001033221117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 22.

Adding to 1001033221117 its reverse (7111223301001), we get a palindrome (8112256522118).

The spelling of 1001033221117 in words is "one trillion, one billion, thirty-three million, two hundred twenty-one thousand, one hundred seventeen".