2210220220122 has 24 divisors (see below), whose sum is σ = 4789275226164. Its totient is φ = 736668573504.

The previous prime is 2210220220081. The next prime is 2210220220177.

2210220220122 is a `hidden beast` number, since 2 + 210 + 220 + 220 + 12 + 2 = 666.

2210220220122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 2105490962961 + 104729257161 = 1451031^2 + 323619^2 .

It is a super-2 number, since 2×2210220220122² (a number of 25 digits) contains 22 as substring.

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 = 2210220220095 and 2210220220104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5767533 + ... + 6138800.

Almost surely, 2^{2210220220122} is an apocalyptic number.

2210220220122 is an abundant number, since it is smaller than the sum of its proper divisors (2579055006042).

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

2210220220122 is a wasteful number, since it uses less digits than its factorization.

2210220220122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11916654 (or 11916651 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 2210220 and 220122, that added together give a palindrome (2430342).

The spelling of 2210220220122 in words is "two trillion, two hundred ten billion, two hundred twenty million, two hundred twenty thousand, one hundred twenty-two".