201101112211122 has 24 divisors (see below), whose sum is σ = 437292069524076. Its totient is φ = 66791705137056.

The previous prime is 201101112211063. The next prime is 201101112211187. The reversal of 201101112211122 is 221112211101102.

It is a happy number.

201101112211122 is a `hidden beast` number, since 201 + 10 + 111 + 221 + 1 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 191164110616521 + 9937001594601 = 13826211^2 + 3152301^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201101112211095 and 201101112211104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20166572653 + ... + 20166582624.

Almost surely, 2^{201101112211122} is an apocalyptic number.

201101112211122 is an abundant number, since it is smaller than the sum of its proper divisors (236190957312954).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201101112211122 is a wasteful number, since it uses less digits than its factorization.

201101112211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40333155562 (or 40333155559 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 201101112211122 its reverse (221112211101102), we get a palindrome (422213323312224).

The spelling of 201101112211122 in words is "two hundred one trillion, one hundred one billion, one hundred twelve million, two hundred eleven thousand, one hundred twenty-two".