1000210200 has 288 divisors, whose sum is σ = 3562272000. Its totient is φ = 231545600.

The previous prime is 1000210199. The next prime is 1000210207. The reversal of 1000210200 is 20120001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000210207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1669501 + ... + 1670099.

It is an arithmetic number, because the mean of its divisors is an integer number (12369000).

Almost surely, 2^1000210200 is an apocalyptic number.

1000210200 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 1000210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781136000).

1000210200 is an abundant number, since it is smaller than the sum of its proper divisors (2562061800).

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

1000210200 is a wasteful number, since it uses less digits than its factorization.

1000210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1000210200 is about 31626.0999808702. The cubic root of 1000210200 is about 1000.0700617579.

Adding to 1000210200 its reverse (20120001), we get a palindrome (1020330201).

It can be divided in two parts, 10002 and 10200, that added together give a palindrome (20202).

The spelling of 1000210200 in words is "one billion, two hundred ten thousand, two hundred".