2010120200214 has 64 divisors (see below), whose sum is σ = 4657050241536. Its totient is φ = 566547416064.

The previous prime is 2010120200213. The next prime is 2010120200233. The reversal of 2010120200214 is 4120020210102.

It is a junction number, because it is equal to n+sod(n) for n = 2010120200193 and 2010120200202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010120200213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 447132 + ... + 2054304.

It is an arithmetic number, because the mean of its divisors is an integer number (72766410024).

Almost surely, 2^{2010120200214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010120200214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328525120768).

2010120200214 is an abundant number, since it is smaller than the sum of its proper divisors (2646930041322).

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

2010120200214 is a wasteful number, since it uses less digits than its factorization.

2010120200214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607589.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2010120200214 its reverse (4120020210102), we get a palindrome (6130140410316).

The spelling of 2010120200214 in words is "two trillion, ten billion, one hundred twenty million, two hundred thousand, two hundred fourteen".