201101100101 has 16 divisors (see below), whose sum is σ = 222125155200. Its totient is φ = 180543384000.

The previous prime is 201101100061. The next prime is 201101100127. The reversal of 201101100101 is 101001101102.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 201101100101 - 2¹⁰ = 201101099077 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 (201101100181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199520 + ... + 664838.

It is an arithmetic number, because the mean of its divisors is an integer number (13882822200).

Almost surely, 2^201101100101 is an apocalyptic number.

It is an amenable number.

201101100101 is a deficient number, since it is larger than the sum of its proper divisors (21024055099).

201101100101 is a wasteful number, since it uses less digits than its factorization.

201101100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465820.

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

Adding to 201101100101 its reverse (101001101102), we get a palindrome (302102201203).

It can be divided in two parts, 20110 and 1100101, that added together give a palindrome (1120211).

The spelling of 201101100101 in words is "two hundred one billion, one hundred one million, one hundred thousand, one hundred one".