2210001021120 has 224 divisors, whose sum is σ = 7245173053440. Its totient is φ = 570159636480.

The previous prime is 2210001021023. The next prime is 2210001021191. The reversal of 2210001021120 is 211201000122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2210001021096 and 2210001021105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131203419 + ... + 131220261.

It is an arithmetic number, because the mean of its divisors is an integer number (32344522560).

Almost surely, 2^{2210001021120} is an apocalyptic number.

2210001021120 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 2210001021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622586526720).

2210001021120 is an abundant number, since it is smaller than the sum of its proper divisors (5035172032320).

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

2210001021120 is a wasteful number, since it uses less digits than its factorization.

2210001021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21303 (or 21293 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2210001021120 its reverse (211201000122), we get a palindrome (2421202021242).

The spelling of 2210001021120 in words is "two trillion, two hundred ten billion, one million, twenty-one thousand, one hundred twenty".