1001117785201 has 2 divisors, whose sum is σ = 1001117785202. Its totient is φ = 1001117785200.

The previous prime is 1001117785139. The next prime is 1001117785219. The reversal of 1001117785201 is 1025877111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 996051904576 + 5065880625 = 998024^2 + 71175^2 .

It is an emirp because it is prime and its reverse (1025877111001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001117785201 - 2¹⁵ = 1001117752433 is a prime.

It is a super-2 number, since 2×1001117785201² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1001117782201) 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, 500558892600 + 500558892601.

It is an arithmetic number, because the mean of its divisors is an integer number (500558892601).

Almost surely, 2^{1001117785201} is an apocalyptic number.

It is an amenable number.

1001117785201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001117785201 is an equidigital number, since it uses as much as digits as its factorization.

1001117785201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3920, while the sum is 34.

The spelling of 1001117785201 in words is "one trillion, one billion, one hundred seventeen million, seven hundred eighty-five thousand, two hundred one".