201101201000101 has 8 divisors (see below), whose sum is σ = 205186037082264. Its totient is φ = 197057418547200.

The previous prime is 201101201000027. The next prime is 201101201000143. The reversal of 201101201000101 is 101000102101102.

201101201000101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 133358013109476 + 67743187890625 = 11548074^2 + 8230625^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 201101201000101 - 2⁴¹ = 198902177744549 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201101201000191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10263397420 + ... + 10263417013.

It is an arithmetic number, because the mean of its divisors is an integer number (25648254635283).

Almost surely, 2^{201101201000101} is an apocalyptic number.

It is an amenable number.

201101201000101 is a deficient number, since it is larger than the sum of its proper divisors (4084836082163).

201101201000101 is a wasteful number, since it uses less digits than its factorization.

201101201000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20526814631.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 201101201000101 its reverse (101000102101102), we get a palindrome (302101303101203).

The spelling of 201101201000101 in words is "two hundred one trillion, one hundred one billion, two hundred one million, one hundred one", and thus it is an aban number.