110201222011122 has 96 divisors (see below), whose sum is σ = 267542812128384. Its totient is φ = 32488443187200.

The previous prime is 110201222011103. The next prime is 110201222011141. The reversal of 110201222011122 is 221110222102011.

110201222011122 is a `hidden beast` number, since 110 + 201 + 2 + 220 + 11 + 122 = 666.

It is an interprime number because it is at equal distance from previous prime (110201222011103) and next prime (110201222011141).

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 = 110201222011095 and 110201222011104.

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, 71449347 + ... + 72975417.

It is an arithmetic number, because the mean of its divisors is an integer number (2786904293004).

Almost surely, 2^{110201222011122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110201222011122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133771406064192).

110201222011122 is an abundant number, since it is smaller than the sum of its proper divisors (157341590117262).

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

110201222011122 is a wasteful number, since it uses less digits than its factorization.

110201222011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535984 (or 1535981 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 110201222011122 its reverse (221110222102011), we get a palindrome (331311444113133).

The spelling of 110201222011122 in words is "one hundred ten trillion, two hundred one billion, two hundred twenty-two million, eleven thousand, one hundred twenty-two".