2210331121220 has 48 divisors (see below), whose sum is σ = 4645279552368. Its totient is φ = 883450022400.

The previous prime is 2210331121217. The next prime is 2210331121307. The reversal of 2210331121220 is 221211330122.

It can be written as a sum of positive squares in 8 ways, for example, as 147752596996 + 2062578524224 = 384386^2 + 1436168^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2210331121192 and 2210331121201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223238270 + ... + 223248170.

It is an arithmetic number, because the mean of its divisors is an integer number (96776657341).

Almost surely, 2^{2210331121220} is an apocalyptic number.

2210331121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210331121220 is an abundant number, since it is smaller than the sum of its proper divisors (2434948431148).

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

2210331121220 is a wasteful number, since it uses less digits than its factorization.

2210331121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17400 (or 17398 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2210331121220 its reverse (221211330122), we get a palindrome (2431542451342).

The spelling of 2210331121220 in words is "two trillion, two hundred ten billion, three hundred thirty-one million, one hundred twenty-one thousand, two hundred twenty".