10000200001000 has 144 divisors (see below), whose sum is σ = 25724005185060. Its totient is φ = 3636036360000.

The previous prime is 10000200000953. The next prime is 10000200001013. The reversal of 10000200001000 is 10000200001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 6760135200676 + 3240064800324 = 2600026^2 + 1800018^2 .

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 35 ways as a sum of consecutive naturals, for example, 1100006455 + ... + 1100015545.

Almost surely, 2^{10000200001000} is an apocalyptic number.

10000200001000 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 10000200001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12862002592530).

10000200001000 is an abundant number, since it is smaller than the sum of its proper divisors (15723805184060).

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

10000200001000 is an frugal number, since it uses more digits than its factorization.

10000200001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18225 (or 9109 counting only the distinct ones).

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

Adding to 10000200001000 its reverse (10000200001), we get a palindrome (10010200201001).

10000200001000 divided by its reverse (10000200001) gives a cube (1000 = 10³).

The spelling of 10000200001000 in words is "ten trillion, two hundred million, one thousand".