10212212100200 has 192 divisors, whose sum is σ = 26107000920000. Its totient is φ = 3684162816000.

The previous prime is 10212212100199. The next prime is 10212212100203. The reversal of 10212212100200 is 200121221201.

It is not an unprimeable number, because it can be changed into a prime (10212212100203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 452878526 + ... + 452901074.

It is an arithmetic number, because the mean of its divisors is an integer number (135973963125).

Almost surely, 2^{10212212100200} is an apocalyptic number.

10212212100200 is a gapful number since it is divisible by the number (10) 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 10212212100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13053500460000).

10212212100200 is an abundant number, since it is smaller than the sum of its proper divisors (15894788819800).

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

10212212100200 is a wasteful number, since it uses less digits than its factorization.

10212212100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24196 (or 24187 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10212212100200 its reverse (200121221201), we get a palindrome (10412333321401).

The spelling of 10212212100200 in words is "ten trillion, two hundred twelve billion, two hundred twelve million, one hundred thousand, two hundred".