11102166661681 has 2 divisors, whose sum is σ = 11102166661682. Its totient is φ = 11102166661680.

The previous prime is 11102166661667. The next prime is 11102166661753. The reversal of 11102166661681 is 18616666120111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10145371632400 + 956795029281 = 3185180^2 + 978159^2 .

It is a cyclic number.

It is not a de Polignac number, because 11102166661681 - 2²¹ = 11102164564529 is a prime.

It is a super-2 number, since 2×11102166661681² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11102166661381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5551083330840 + 5551083330841.

It is an arithmetic number, because the mean of its divisors is an integer number (5551083330841).

Almost surely, 2^{11102166661681} is an apocalyptic number.

It is an amenable number.

11102166661681 is a deficient number, since it is larger than the sum of its proper divisors (1).

11102166661681 is an equidigital number, since it uses as much as digits as its factorization.

11102166661681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 124416, while the sum is 46.

The spelling of 11102166661681 in words is "eleven trillion, one hundred two billion, one hundred sixty-six million, six hundred sixty-one thousand, six hundred eighty-one".