1000000010000 has 100 divisors (see below), whose sum is σ = 2563518108492. Its totient is φ = 376470528000.

The previous prime is 1000000009999. The next prime is 1000000010021. The reversal of 1000000010000 is 100000001.

It can be written as a sum of positive squares in 10 ways, for example, as 488254357504 + 511745652496 = 698752^2 + 715364^2 .

It is a sliding number, since 1000000010000 = 10000 + 1000000000000 and 1/10000 + 1/1000000000000 = 0.0001000000010000.

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 (2).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2771177 + ... + 3111176.

Almost surely, 2^{1000000010000} is an apocalyptic number.

1000000010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000000010000 is an abundant number, since it is smaller than the sum of its proper divisors (1563518098492).

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

1000000010000 is an equidigital number, since it uses as much as digits as its factorization.

1000000010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882398 (or 5882377 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 2.

Adding to 1000000010000 its reverse (100000001), we get a palindrome (1000100010001).

Subtracting from 1000000010000 its reverse (100000001), we obtain a palindrome (999900009999).

1000000010000 divided by its reverse (100000001) gives a 4-th power (10000 = 10⁴).

The spelling of 1000000010000 in words is "one trillion, ten thousand".