212010002002000 has 640 divisors, whose sum is σ = 569686680576000. Its totient is φ = 75949368422400.

The previous prime is 212010002001997. The next prime is 212010002002037. The reversal of 212010002002000 is 200200010212.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51222515931 + ... + 51222520069.

It is an arithmetic number, because the mean of its divisors is an integer number (890135438400).

Almost surely, 2^{212010002002000} is an apocalyptic number.

212010002002000 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 212010002002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284843340288000).

212010002002000 is an abundant number, since it is smaller than the sum of its proper divisors (357676678574000).

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

212010002002000 is a wasteful number, since it uses less digits than its factorization.

212010002002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4876 (or 4860 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 212010002002000 its reverse (200200010212), we get a palindrome (212210202012212).

The spelling of 212010002002000 in words is "two hundred twelve trillion, ten billion, two million, two thousand".