10200212200 has 96 divisors (see below), whose sum is σ = 24118155000. Its totient is φ = 4011392000.

The previous prime is 10200212167. The next prime is 10200212213. The reversal of 10200212200 is 221200201.

It can be written as a sum of positive squares in 12 ways, for example, as 3564806436 + 6635405764 = 59706^2 + 81458^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 3008106 + ... + 3011494.

Almost surely, 2^10200212200 is an apocalyptic number.

10200212200 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 10200212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12059077500).

10200212200 is an abundant number, since it is smaller than the sum of its proper divisors (13917942800).

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

10200212200 is a wasteful number, since it uses less digits than its factorization.

10200212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3655 (or 3646 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10200212200 its reverse (221200201), we get a palindrome (10421412401).

The spelling of 10200212200 in words is "ten billion, two hundred million, two hundred twelve thousand, two hundred".