11006056110101 has 8 divisors (see below), whose sum is σ = 11896737806520. Its totient is φ = 10121668984512.

The previous prime is 11006056110097. The next prime is 11006056110149. The reversal of 11006056110101 is 10101165060011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13316929201 + 10992739180900 = 115399^2 + 3315530^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11006056110101 - 2² = 11006056110097 is a prime.

It is a super-2 number, since 2×11006056110101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11006056110001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1573639070 + ... + 1573646063.

It is an arithmetic number, because the mean of its divisors is an integer number (1487092225815).

Almost surely, 2^{11006056110101} is an apocalyptic number.

It is an amenable number.

11006056110101 is a deficient number, since it is larger than the sum of its proper divisors (890681696419).

11006056110101 is a wasteful number, since it uses less digits than its factorization.

11006056110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3147285415.

The product of its (nonzero) digits is 180, while the sum is 23.

The spelling of 11006056110101 in words is "eleven trillion, six billion, fifty-six million, one hundred ten thousand, one hundred one".