201100013001 has 6 divisors (see below), whose sum is σ = 290477796570. Its totient is φ = 134066675328.

The previous prime is 201100012973. The next prime is 201100013017. The reversal of 201100013001 is 100310001102.

It can be written as a sum of positive squares in only one way, i.e., 198248453001 + 2851560000 = 445251^2 + 53400^2 .

It is not a de Polignac number, because 201100013001 - 2¹⁰ = 201100011977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 22344445889 = 201100013001 / (2 + 0 + 1 + 1 + 0 + 0 + 0 + 1 + 3 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (201100023001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11172222936 + ... + 11172222953.

It is an arithmetic number, because the mean of its divisors is an integer number (48412966095).

Almost surely, 2^201100013001 is an apocalyptic number.

It is an amenable number.

201100013001 is a deficient number, since it is larger than the sum of its proper divisors (89377783569).

201100013001 is a wasteful number, since it uses less digits than its factorization.

201100013001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22344445895 (or 22344445892 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 201100013001 its reverse (100310001102), we get a palindrome (301410014103).

The spelling of 201100013001 in words is "two hundred one billion, one hundred million, thirteen thousand, one".