11106001100601 has 24 divisors (see below), whose sum is σ = 17500883287680. Its totient is φ = 6730710559200.

The previous prime is 11106001100531. The next prime is 11106001100603. The reversal of 11106001100601 is 10600110060111.

11106001100601 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 60 + 0 + 1 + 1 + 0 + 0 + 601 = 666.

It is not a de Polignac number, because 11106001100601 - 2²⁵ = 11105967546169 is a prime.

It is a super-2 number, since 2×11106001100601² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11106001100603) 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 23 ways as a sum of consecutive naturals, for example, 1737040 + ... + 5022878.

It is an arithmetic number, because the mean of its divisors is an integer number (729203470320).

Almost surely, 2^{11106001100601} is an apocalyptic number.

11106001100601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11106001100601 is a deficient number, since it is larger than the sum of its proper divisors (6394882187079).

11106001100601 is a wasteful number, since it uses less digits than its factorization.

11106001100601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3319997 (or 3319994 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 11106001100601 its reverse (10600110060111), we get a palindrome (21706111160712).

It can be divided in two parts, 11 and 106001100601, that multiplied together give a palindrome (1166012106611).

The spelling of 11106001100601 in words is "eleven trillion, one hundred six billion, one million, one hundred thousand, six hundred one".