2010121120000 has 270 divisors, whose sum is σ = 5832498657678. Its totient is φ = 689181696000.

The previous prime is 2010121119973. The next prime is 2010121120039. The reversal of 2010121120000 is 211210102.

It can be written as a sum of positive squares in 5 ways, for example, as 619759413504 + 1390361706496 = 787248^2 + 1179136^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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 29 ways as a sum of consecutive naturals, for example, 7711804 + ... + 7968196.

Almost surely, 2^{2010121120000} is an apocalyptic number.

2010121120000 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 2010121120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916249328839).

2010121120000 is an abundant number, since it is smaller than the sum of its proper divisors (3822377537678).

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

2010121120000 is an frugal number, since it uses more digits than its factorization.

2010121120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256443 (or 256407 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2010121120000 its reverse (211210102), we get a palindrome (2010332330102).

The spelling of 2010121120000 in words is "two trillion, ten billion, one hundred twenty-one million, one hundred twenty thousand".