1001116613221 has 2 divisors, whose sum is σ = 1001116613222. Its totient is φ = 1001116613220.

The previous prime is 1001116613179. The next prime is 1001116613249. The reversal of 1001116613221 is 1223166111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 954501644196 + 46614969025 = 976986^2 + 215905^2 .

It is an emirp because it is prime and its reverse (1223166111001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001116613221 - 2¹³ = 1001116605029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001116613261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500558306610 + 500558306611.

It is an arithmetic number, because the mean of its divisors is an integer number (500558306611).

Almost surely, 2^{1001116613221} is an apocalyptic number.

It is an amenable number.

1001116613221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001116613221 is an equidigital number, since it uses as much as digits as its factorization.

1001116613221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 25.

The spelling of 1001116613221 in words is "one trillion, one billion, one hundred sixteen million, six hundred thirteen thousand, two hundred twenty-one".