2211121122210 has 768 divisors, whose sum is σ = 8062520094720. Its totient is φ = 405618554880.

The previous prime is 2211121122191. The next prime is 2211121122251. The reversal of 2211121122210 is 122211211122.

2211121122210 is a `hidden beast` number, since 2 + 211 + 121 + 122 + 210 = 666.

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

It is a Curzon number.

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 383 ways as a sum of consecutive naturals, for example, 196660849 + ... + 196672091.

It is an arithmetic number, because the mean of its divisors is an integer number (10498073040).

Almost surely, 2^{2211121122210} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211121122210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4031260047360).

2211121122210 is an abundant number, since it is smaller than the sum of its proper divisors (5851398972510).

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

2211121122210 is a wasteful number, since it uses less digits than its factorization.

2211121122210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11383 (or 11380 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2211121122210 its reverse (122211211122), we get a palindrome (2333332333332).

The spelling of 2211121122210 in words is "two trillion, two hundred eleven billion, one hundred twenty-one million, one hundred twenty-two thousand, two hundred ten".