110222121211002 has 96 divisors (see below), whose sum is σ = 247740598978704. Its totient is φ = 35387611776000.

The previous prime is 110222121211001. The next prime is 110222121211051. The reversal of 110222121211002 is 200112121222011.

110222121211002 is a `hidden beast` number, since 110 + 222 + 121 + 211 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 89756278092441 + 20465843118561 = 9473979^2 + 4523919^2 .

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

It is not an unprimeable number, because it can be changed into a prime (110222121211001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 394106238 + ... + 394385814.

Almost surely, 2^{110222121211002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110222121211002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123870299489352).

110222121211002 is an abundant number, since it is smaller than the sum of its proper divisors (137518477767702).

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

110222121211002 is a wasteful number, since it uses less digits than its factorization.

110222121211002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285584 (or 285581 counting only the distinct ones).

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

Adding to 110222121211002 its reverse (200112121222011), we get a palindrome (310334242433013).

The spelling of 110222121211002 in words is "one hundred ten trillion, two hundred twenty-two billion, one hundred twenty-one million, two hundred eleven thousand, two".