2210112220100 has 144 divisors (see below), whose sum is σ = 4970878041360. Its totient is φ = 852349132800.

The previous prime is 2210112220091. The next prime is 2210112220123. The reversal of 2210112220100 is 10222110122.

It can be written as a sum of positive squares in 24 ways, for example, as 1237131205696 + 972981014404 = 1112264^2 + 986398^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177413072 + ... + 177425528.

Almost surely, 2^{2210112220100} is an apocalyptic number.

2210112220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2210112220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485439020680).

2210112220100 is an abundant number, since it is smaller than the sum of its proper divisors (2760765821260).

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

2210112220100 is a wasteful number, since it uses less digits than its factorization.

2210112220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13018 (or 13011 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2210112220100 its reverse (10222110122), we get a palindrome (2220334330222).

The spelling of 2210112220100 in words is "two trillion, two hundred ten billion, one hundred twelve million, two hundred twenty thousand, one hundred".