1000210000 has 100 divisors (see below), whose sum is σ = 2505838500. Its totient is φ = 386176000.

The previous prime is 1000209983. The next prime is 1000210037. The reversal of 1000210000 is 120001.

It can be written as a sum of positive squares in 10 ways, for example, as 975687696 + 24522304 = 31236^2 + 4952^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 288276 + ... + 291724.

It is an arithmetic number, because the mean of its divisors is an integer number (25058385).

Almost surely, 2^1000210000 is an apocalyptic number.

1000210000 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 1000210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252919250).

1000210000 is an abundant number, since it is smaller than the sum of its proper divisors (1505628500).

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

1000210000 is an equidigital number, since it uses as much as digits as its factorization.

1000210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3506 (or 3485 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 1000210000 is about 31626.0968189247. The cubic root of 1000210000 is about 1000.0699951006.

Adding to 1000210000 its reverse (120001), we get a palindrome (1000330001).

It can be divided in two parts, 10002 and 10000, that added together give a palindrome (20002).

The spelling of 1000210000 in words is "one billion, two hundred ten thousand".