201110101001 has 16 divisors (see below), whose sum is σ = 209843524800. Its totient is φ = 192500616000.

The previous prime is 201110100973. The next prime is 201110101007. The reversal of 201110101001 is 100101011102.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 201110101001 - 2³⁰ = 200036359177 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 201110101001.

It is not an unprimeable number, because it can be changed into a prime (201110101007) 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, 2790146 + ... + 2861316.

It is an arithmetic number, because the mean of its divisors is an integer number (13115220300).

Almost surely, 2^201110101001 is an apocalyptic number.

It is an amenable number.

201110101001 is a deficient number, since it is larger than the sum of its proper divisors (8733423799).

201110101001 is a wasteful number, since it uses less digits than its factorization.

201110101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72040.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 201110101001 its reverse (100101011102), we get a palindrome (301211112103).

The spelling of 201110101001 in words is "two hundred one billion, one hundred ten million, one hundred one thousand, one".