2010000002120 has 256 divisors, whose sum is σ = 5222620385280. Its totient is φ = 689079424000.

The previous prime is 2010000002111. The next prime is 2010000002137. The reversal of 2010000002120 is 212000000102.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 2010000002098 and 2010000002107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 232016909 + ... + 232025571.

It is an arithmetic number, because the mean of its divisors is an integer number (20400860880).

Almost surely, 2^{2010000002120} is an apocalyptic number.

2010000002120 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 2010000002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611310192640).

2010000002120 is an abundant number, since it is smaller than the sum of its proper divisors (3212620383160).

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

2010000002120 is a wasteful number, since it uses less digits than its factorization.

2010000002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9036 (or 9032 counting only the distinct ones).

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

Adding to 2010000002120 its reverse (212000000102), we get a palindrome (2222000002222).

The spelling of 2010000002120 in words is "two trillion, ten billion, two thousand, one hundred twenty".