2120221223100 has 216 divisors, whose sum is σ = 6879086043648. Its totient is φ = 545778777600.

The previous prime is 2120221223033. The next prime is 2120221223147. The reversal of 2120221223100 is 13221220212.

2120221223100 is a `hidden beast` number, since 2 + 120 + 221 + 223 + 100 = 666.

It is a super-3 number, since 3×2120221223100³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3978430 + ... + 4479770.

Almost surely, 2^{2120221223100} is an apocalyptic number.

2120221223100 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 2120221223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3439543021824).

2120221223100 is an abundant number, since it is smaller than the sum of its proper divisors (4758864820548).

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

2120221223100 is a wasteful number, since it uses less digits than its factorization.

2120221223100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501525 (or 501515 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2120221223100 its reverse (13221220212), we get a palindrome (2133442443312).

The spelling of 2120221223100 in words is "two trillion, one hundred twenty billion, two hundred twenty-one million, two hundred twenty-three thousand, one hundred".