10212212211200 has 120 divisors (see below), whose sum is σ = 25303347301320. Its totient is φ = 4084595302400.

The previous prime is 10212212211119. The next prime is 10212212211211. The reversal of 10212212211200 is 211221221201.

10212212211200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 344189966 + ... + 344219634.

It is an arithmetic number, because the mean of its divisors is an integer number (210861227511).

Almost surely, 2^{10212212211200} is an apocalyptic number.

10212212211200 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 10212212211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12651673650660).

10212212211200 is an abundant number, since it is smaller than the sum of its proper divisors (15091135090120).

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

10212212211200 is an equidigital number, since it uses as much as digits as its factorization.

10212212211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56588 (or 56567 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10212212211200 its reverse (211221221201), we get a palindrome (10423433432401).

The spelling of 10212212211200 in words is "ten trillion, two hundred twelve billion, two hundred twelve million, two hundred eleven thousand, two hundred".