2211210101120 has 256 divisors, whose sum is σ = 5453736652800. Its totient is φ = 856938700800.

The previous prime is 2211210101083. The next prime is 2211210101161. The reversal of 2211210101120 is 211010121122.

It is a super-2 number, since 2×2211210101120² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2211210101095 and 2211210101104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2427233465 + ... + 2427234375.

It is an arithmetic number, because the mean of its divisors is an integer number (21303658800).

Almost surely, 2^{2211210101120} is an apocalyptic number.

2211210101120 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 2211210101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726868326400).

2211210101120 is an abundant number, since it is smaller than the sum of its proper divisors (3242526551680).

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

2211210101120 is an equidigital number, since it uses as much as digits as its factorization.

2211210101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2211210101120 its reverse (211010121122), we get a palindrome (2422220222242).

The spelling of 2211210101120 in words is "two trillion, two hundred eleven billion, two hundred ten million, one hundred one thousand, one hundred twenty".