2210102021120 has 264 divisors, whose sum is σ = 6172664469840. Its totient is φ = 757081866240.

The previous prime is 2210102021107. The next prime is 2210102021203. The reversal of 2210102021120 is 211202010122.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2210102021095 and 2210102021104.

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 23 ways as a sum of consecutive naturals, for example, 346462091 + ... + 346468469.

It is an arithmetic number, because the mean of its divisors is an integer number (23381304810).

Almost surely, 2^{2210102021120} is an apocalyptic number.

2210102021120 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 2210102021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3086332234920).

2210102021120 is an abundant number, since it is smaller than the sum of its proper divisors (3962562448720).

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

2210102021120 is a wasteful number, since it uses less digits than its factorization.

2210102021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7799 (or 7774 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2210102021120 its reverse (211202010122), we get a palindrome (2421304031242).

The spelling of 2210102021120 in words is "two trillion, two hundred ten billion, one hundred two million, twenty-one thousand, one hundred twenty".