11661161666101 has 16 divisors (see below), whose sum is σ = 12320330480640. Its totient is φ = 11019145513600.

The previous prime is 11661161666053. The next prime is 11661161666117. The reversal of 11661161666101 is 10166616116611.

It is a cyclic number.

It is not a de Polignac number, because 11661161666101 - 2¹⁹ = 11661161141813 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11661161666201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48882225 + ... + 49120201.

It is an arithmetic number, because the mean of its divisors is an integer number (770020655040).

Almost surely, 2^{11661161666101} is an apocalyptic number.

It is an amenable number.

11661161666101 is a deficient number, since it is larger than the sum of its proper divisors (659168814539).

11661161666101 is a wasteful number, since it uses less digits than its factorization.

11661161666101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274004.

The product of its (nonzero) digits is 46656, while the sum is 43.

The spelling of 11661161666101 in words is "eleven trillion, six hundred sixty-one billion, one hundred sixty-one million, six hundred sixty-six thousand, one hundred one".