201122102110101 has 64 divisors (see below), whose sum is σ = 277719328972800. Its totient is φ = 129390929902080.

The previous prime is 201122102110043. The next prime is 201122102110177. The reversal of 201122102110101 is 101011201221102.

It is a happy number.

It is not a de Polignac number, because 201122102110101 - 2⁶ = 201122102110037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201122102110201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2195107071 + ... + 2195198691.

It is an arithmetic number, because the mean of its divisors is an integer number (4339364515200).

Almost surely, 2^{201122102110101} is an apocalyptic number.

It is an amenable number.

201122102110101 is a deficient number, since it is larger than the sum of its proper divisors (76597226862699).

201122102110101 is a wasteful number, since it uses less digits than its factorization.

201122102110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92466.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 201122102110101 its reverse (101011201221102), we get a palindrome (302133303331203).

The spelling of 201122102110101 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred two million, one hundred ten thousand, one hundred one".