21212010020000 has 480 divisors, whose sum is σ = 55412182425600. Its totient is φ = 7968240000000.

The previous prime is 21212010019973. The next prime is 21212010020011. The reversal of 21212010020000 is 2001021212.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28245019625 + ... + 28245020375.

It is an arithmetic number, because the mean of its divisors is an integer number (115442046720).

Almost surely, 2^{21212010020000} is an apocalyptic number.

21212010020000 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 21212010020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27706091212800).

21212010020000 is an abundant number, since it is smaller than the sum of its proper divisors (34200172405600).

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

21212010020000 is a wasteful number, since it uses less digits than its factorization.

21212010020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 21212010020000 its reverse (2001021212), we get a palindrome (21214011041212).

The spelling of 21212010020000 in words is "twenty-one trillion, two hundred twelve billion, ten million, twenty thousand".