10212200200 has 48 divisors (see below), whose sum is σ = 23798655360. Its totient is φ = 4075368000.

The previous prime is 10212200197. The next prime is 10212200209. The reversal of 10212200200 is 200221201.

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

It is not an unprimeable number, because it can be changed into a prime (10212200209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26965 + ... + 145435.

It is an arithmetic number, because the mean of its divisors is an integer number (495805320).

Almost surely, 2^10212200200 is an apocalyptic number.

10212200200 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 10212200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11899327680).

10212200200 is an abundant number, since it is smaller than the sum of its proper divisors (13586455160).

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

10212200200 is a wasteful number, since it uses less digits than its factorization.

10212200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118918 (or 118909 counting only the distinct ones).

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

Adding to 10212200200 its reverse (200221201), we get a palindrome (10412421401).

The spelling of 10212200200 in words is "ten billion, two hundred twelve million, two hundred thousand, two hundred".