2010120221120 has 224 divisors, whose sum is σ = 5297591249856. Its totient is φ = 720352051200.

The previous prime is 2010120221089. The next prime is 2010120221143. The reversal of 2010120221120 is 211220210102.

It is a super-4 number, since 4×2010120221120⁴ (a number of 50 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2010120221095 and 2010120221104.

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, 425780360 + ... + 425785080.

Almost surely, 2^{2010120221120} is an apocalyptic number.

2010120221120 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 2010120221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648795624928).

2010120221120 is an abundant number, since it is smaller than the sum of its proper divisors (3287471028736).

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

2010120221120 is a wasteful number, since it uses less digits than its factorization.

2010120221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6479 (or 6469 counting only the distinct ones).

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

Adding to 2010120221120 its reverse (211220210102), we get a palindrome (2221340431222).

The spelling of 2010120221120 in words is "two trillion, ten billion, one hundred twenty million, two hundred twenty-one thousand, one hundred twenty".