10212204200 has 96 divisors (see below), whose sum is σ = 26034449760. Its totient is φ = 3694521600.

The previous prime is 10212204193. The next prime is 10212204229. The reversal of 10212204200 is 240221201.

It is a super-2 number, since 2×10212204200² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421619 + ... + 445181.

It is an arithmetic number, because the mean of its divisors is an integer number (271192185).

Almost surely, 2^10212204200 is an apocalyptic number.

10212204200 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 10212204200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13017224880).

10212204200 is an abundant number, since it is smaller than the sum of its proper divisors (15822245560).

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

10212204200 is a wasteful number, since it uses less digits than its factorization.

10212204200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23787 (or 23778 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10212204200 its reverse (240221201), we get a palindrome (10452425401).

It can be divided in two parts, 10212 and 204200, that added together give a palindrome (214412).

The spelling of 10212204200 in words is "ten billion, two hundred twelve million, two hundred four thousand, two hundred".