11291204608101 has 64 divisors (see below), whose sum is σ = 18331657021440. Its totient is φ = 6811946709120.

The previous prime is 11291204607997. The next prime is 11291204608157. The reversal of 11291204608101 is 10180640219211.

11291204608101 is a `hidden beast` number, since 1 + 1 + 2 + 91 + 2 + 0 + 460 + 8 + 101 = 666.

It is not a de Polignac number, because 11291204608101 - 2⁷ = 11291204607973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11291204628101) 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 in 63 ways as a sum of consecutive naturals, for example, 767423121 + ... + 767437833.

It is an arithmetic number, because the mean of its divisors is an integer number (286432140960).

Almost surely, 2^{11291204608101} is an apocalyptic number.

11291204608101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11291204608101 is a deficient number, since it is larger than the sum of its proper divisors (7040452413339).

11291204608101 is a wasteful number, since it uses less digits than its factorization.

11291204608101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26343 (or 26337 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 11291204608101 in words is "eleven trillion, two hundred ninety-one billion, two hundred four million, six hundred eight thousand, one hundred one".