110222211022002 has 128 divisors (see below), whose sum is σ = 262845734400000. Its totient is φ = 34135768046016.

The previous prime is 110222211021911. The next prime is 110222211022031. The reversal of 110222211022002 is 200220112222011.

It is a happy number.

110222211022002 is a `hidden beast` number, since 1 + 10 + 222 + 211 + 0 + 220 + 0 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7513753 + ... + 16640339.

It is an arithmetic number, because the mean of its divisors is an integer number (2053482300000).

Almost surely, 2^{110222211022002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110222211022002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131422867200000).

110222211022002 is an abundant number, since it is smaller than the sum of its proper divisors (152623523377998).

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

110222211022002 is a wasteful number, since it uses less digits than its factorization.

110222211022002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9126845 (or 9126839 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 110222211022002 its reverse (200220112222011), we get a palindrome (310442323244013).

The spelling of 110222211022002 in words is "one hundred ten trillion, two hundred twenty-two billion, two hundred eleven million, twenty-two thousand, two".