2212100021120 has 128 divisors (see below), whose sum is σ = 5770175806080. Its totient is φ = 804243916800.

The previous prime is 2212100021083. The next prime is 2212100021179. The reversal of 2212100021120 is 211200012122.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2212100021095 and 2212100021104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39980675 + ... + 40035965.

It is an arithmetic number, because the mean of its divisors is an integer number (45079498485).

Almost surely, 2^{2212100021120} is an apocalyptic number.

2212100021120 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 2212100021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2885087903040).

2212100021120 is an abundant number, since it is smaller than the sum of its proper divisors (3558075784960).

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

2212100021120 is a wasteful number, since it uses less digits than its factorization.

2212100021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61004 (or 60992 counting only the distinct ones).

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

Adding to 2212100021120 its reverse (211200012122), we get a palindrome (2423300033242).

The spelling of 2212100021120 in words is "two trillion, two hundred twelve billion, one hundred million, twenty-one thousand, one hundred twenty".