11000606056101 has 24 divisors (see below), whose sum is σ = 15909629200920. Its totient is φ = 7324574332416.

The previous prime is 11000606056091. The next prime is 11000606056127. The reversal of 11000606056101 is 10165060600011.

11000606056101 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 0 + 606 + 0 + 56 + 1 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1126996683201 + 9873609372900 = 1061601^2 + 3142230^2 .

It is not a de Polignac number, because 11000606056101 - 2⁷ = 11000606055973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000606056171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24522145 + ... + 24966713.

It is an arithmetic number, because the mean of its divisors is an integer number (662901216705).

Almost surely, 2^{11000606056101} is an apocalyptic number.

It is an amenable number.

11000606056101 is a deficient number, since it is larger than the sum of its proper divisors (4909023144819).

11000606056101 is a wasteful number, since it uses less digits than its factorization.

11000606056101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448005 (or 448002 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 11000606056101 its reverse (10165060600011), we get a palindrome (21165666656112).

The spelling of 11000606056101 in words is "eleven trillion, six hundred six million, fifty-six thousand, one hundred one".