2010212112120 has 256 divisors, whose sum is σ = 6476210496000. Its totient is φ = 497651558400.

The previous prime is 2010212112067. The next prime is 2010212112121. The reversal of 2010212112120 is 212112120102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2010212112120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010212112121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37385655 + ... + 37439385.

It is an arithmetic number, because the mean of its divisors is an integer number (25297697250).

Almost surely, 2^{2010212112120} is an apocalyptic number.

2010212112120 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 2010212112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3238105248000).

2010212112120 is an abundant number, since it is smaller than the sum of its proper divisors (4465998383880).

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

2010212112120 is a wasteful number, since it uses less digits than its factorization.

2010212112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54094 (or 54090 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2010212112120 its reverse (212112120102), we get a palindrome (2222324232222).

The spelling of 2010212112120 in words is "two trillion, ten billion, two hundred twelve million, one hundred twelve thousand, one hundred twenty".