201110010101001 has 12 divisors (see below), whose sum is σ = 290525715343812. Its totient is φ = 134057888437536.

The previous prime is 201110010100981. The next prime is 201110010101113. The reversal of 201110010101001 is 100101010011102.

It can be written as a sum of positive squares in 2 ways, for example, as 22873492325376 + 178236517775625 = 4782624^2 + 13350525^2 .

It is not a de Polignac number, because 201110010101001 - 2¹¹ = 201110010098953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (201110010101201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1287553386 + ... + 1287709571.

It is an arithmetic number, because the mean of its divisors is an integer number (24210476278651).

Almost surely, 2^{201110010101001} is an apocalyptic number.

It is an amenable number.

201110010101001 is a deficient number, since it is larger than the sum of its proper divisors (89415705242811).

201110010101001 is a wasteful number, since it uses less digits than its factorization.

201110010101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575271640 (or 2575271637 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 201110010101001 its reverse (100101010011102), we get a palindrome (301211020112103).

The spelling of 201110010101001 in words is "two hundred one trillion, one hundred ten billion, ten million, one hundred one thousand, one".