201110122111122 has 96 divisors (see below), whose sum is σ = 511701440095872. Its totient is φ = 55879146715392.

The previous prime is 201110122111091. The next prime is 201110122111139. The reversal of 201110122111122 is 221111221011102.

It is a happy number.

201110122111122 is a `hidden beast` number, since 201 + 110 + 1 + 221 + 11 + 122 = 666.

It is a super-2 number, since 2×201110122111122² (a number of 29 digits) contains 22 as substring.

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 = 201110122111095 and 201110122111104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1430403 + ... + 20106374.

It is an arithmetic number, because the mean of its divisors is an integer number (5330223334332).

Almost surely, 2^{201110122111122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201110122111122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255850720047936).

201110122111122 is an abundant number, since it is smaller than the sum of its proper divisors (310591317984750).

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

201110122111122 is a wasteful number, since it uses less digits than its factorization.

201110122111122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21538832 (or 21538829 counting only the distinct ones).

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

Adding to 201110122111122 its reverse (221111221011102), we get a palindrome (422221343122224).

The spelling of 201110122111122 in words is "two hundred one trillion, one hundred ten billion, one hundred twenty-two million, one hundred eleven thousand, one hundred twenty-two".