110211112021122 has 144 divisors (see below), whose sum is σ = 281570167078200. Its totient is φ = 31061211148800.

The previous prime is 110211112021103. The next prime is 110211112021169. The reversal of 110211112021122 is 221120211112011.

It is a happy number.

110211112021122 is a `hidden beast` number, since 110 + 211 + 112 + 0 + 211 + 22 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 102748003787961 + 7463108233161 = 10136469^2 + 2731869^2 .

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 = 110211112021095 and 110211112021104.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21663454 + ... + 26262662.

Almost surely, 2^{110211112021122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110211112021122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140785083539100).

110211112021122 is an abundant number, since it is smaller than the sum of its proper divisors (171359055057078).

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

110211112021122 is a wasteful number, since it uses less digits than its factorization.

110211112021122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4599601 (or 4599591 counting only the distinct ones).

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

Adding to 110211112021122 its reverse (221120211112011), we get a palindrome (331331323133133).

The spelling of 110211112021122 in words is "one hundred ten trillion, two hundred eleven billion, one hundred twelve million, twenty-one thousand, one hundred twenty-two".