11005100601 has 16 divisors (see below), whose sum is σ = 16017090240. Its totient is φ = 6665728320.

The previous prime is 11005100597. The next prime is 11005100627. The reversal of 11005100601 is 10600150011.

11005100601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11005100601 - 2² = 11005100597 is a prime.

It is a super-2 number, since 2×11005100601² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11005100801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44830 + ... + 154983.

It is an arithmetic number, because the mean of its divisors is an integer number (1001068140).

Almost surely, 2^11005100601 is an apocalyptic number.

11005100601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11005100601 is a deficient number, since it is larger than the sum of its proper divisors (5011989639).

11005100601 is a wasteful number, since it uses less digits than its factorization.

11005100601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201496.

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 11005100601 its reverse (10600150011), we get a palindrome (21605250612).

The spelling of 11005100601 in words is "eleven billion, five million, one hundred thousand, six hundred one".