1000200010000 has 225 divisors, whose sum is σ = 2473263107931. Its totient is φ = 391719168000.

The previous prime is 1000200009943. The next prime is 1000200010021. The reversal of 1000200010000 is 100020001.

Added to its reverse (100020001) it gives a cube (1000300030001 = 10001³).

The square root of 1000200010000 is 1000100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 983881480464 + 16318529536 = 991908^2 + 127744^2 .

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 44 ways as a sum of consecutive naturals, for example, 7300729932 + ... + 7300730068.

Almost surely, 2^{1000200010000} is an apocalyptic number.

1000200010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000200010000 is the 1000100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000200010000

1000200010000 is an abundant number, since it is smaller than the sum of its proper divisors (1473063097931).

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

1000200010000 is an frugal number, since it uses more digits than its factorization.

1000200010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 217 counting only the distinct ones).

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

Adding to 1000200010000 its reverse (100020001), we get a palindrome (1000300030001).

1000200010000 divided by its reverse (100020001) gives a 4-th power (10000 = 10⁴).

The spelling of 1000200010000 in words is "one trillion, two hundred million, ten thousand".