1101100611666 has 64 divisors (see below), whose sum is σ = 2430554924160. Its totient is φ = 329772072960.

The previous prime is 1101100611647. The next prime is 1101100611671. The reversal of 1101100611666 is 6661160011011.

It is a super-2 number, since 2×1101100611666² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

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 in 31 ways as a sum of consecutive naturals, for example, 2663250 + ... + 3048786.

It is an arithmetic number, because the mean of its divisors is an integer number (37977420690).

Almost surely, 2^{1101100611666} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101100611666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215277462080).

1101100611666 is an abundant number, since it is smaller than the sum of its proper divisors (1329454312494).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1101100611666 is a wasteful number, since it uses less digits than its factorization.

1101100611666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386059.

The product of its (nonzero) digits is 1296, while the sum is 30.

Adding to 1101100611666 its reverse (6661160011011), we get a palindrome (7762260622677).

The spelling of 1101100611666 in words is "one trillion, one hundred one billion, one hundred million, six hundred eleven thousand, six hundred sixty-six".