21210212100012 has 192 divisors, whose sum is σ = 55077781248000. Its totient is φ = 6310454860800.

The previous prime is 21210212099957. The next prime is 21210212100029. The reversal of 21210212100012 is 21000121201212.

It is a junction number, because it is equal to n+sod(n) for n = 21210212099964 and 21210212100000.

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, 1964084989 + ... + 1964095787.

It is an arithmetic number, because the mean of its divisors is an integer number (286863444000).

Almost surely, 2^{21210212100012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21210212100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27538890624000).

21210212100012 is an abundant number, since it is smaller than the sum of its proper divisors (33867569147988).

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

21210212100012 is a wasteful number, since it uses less digits than its factorization.

21210212100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12936 (or 12934 counting only the distinct ones).

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

Adding to 21210212100012 its reverse (21000121201212), we get a palindrome (42210333301224).

The spelling of 21210212100012 in words is "twenty-one trillion, two hundred ten billion, two hundred twelve million, one hundred thousand, twelve".