2210122210122 has 192 divisors, whose sum is σ = 5040591323040. Its totient is φ = 699192041472.

The previous prime is 2210122210103. The next prime is 2210122210123.

It is a happy number.

2210122210122 is a `hidden beast` number, since 2 + 210 + 122 + 210 + 122 = 666.

2210122210122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 16 ways, for example, as 177983578161 + 2032138631961 = 421881^2 + 1425531^2 .

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 = 2210122210095 and 2210122210104.

It is not an unprimeable number, because it can be changed into a prime (2210122210123) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2590998648 + ... + 2590999500.

Almost surely, 2^{2210122210122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2210122210122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520295661520).

2210122210122 is an abundant number, since it is smaller than the sum of its proper divisors (2830469112918).

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

2210122210122 is a wasteful number, since it uses less digits than its factorization.

2210122210122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1494 counting only the distinct ones).

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

The spelling of 2210122210122 in words is "two trillion, two hundred ten billion, one hundred twenty-two million, two hundred ten thousand, one hundred twenty-two".