1000210000000 has 256 divisors, whose sum is σ = 2577385980000. Its totient is φ = 386176000000.

The previous prime is 1000209999983. The next prime is 1000210000037. The reversal of 1000210000000 is 120001.

It can be written as a sum of positive squares in 16 ways, for example, as 812291217984 + 187918782016 = 901272^2 + 433496^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289998276 + ... + 290001724.

Almost surely, 2^{1000210000000} is an apocalyptic number.

1000210000000 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 1000210000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288692990000).

1000210000000 is an abundant number, since it is smaller than the sum of its proper divisors (1577175980000).

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

1000210000000 is an frugal number, since it uses more digits than its factorization.

1000210000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3527 (or 3485 counting only the distinct ones).

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

Adding to 1000210000000 its reverse (120001), we get a palindrome (1000210120001).

The spelling of 1000210000000 in words is "one trillion, two hundred ten million", and thus it is an aban number.