10001000000000 has 400 divisors, whose sum is σ = 25505065747656. Its totient is φ = 3916800000000.

The previous prime is 10000999999997. The next prime is 10001000000003. The reversal of 10001000000000 is 10001.

It is an interprime number because it is at equal distance from previous prime (10000999999997) and next prime (10001000000003).

It can be written as a sum of positive squares in 20 ways, for example, as 3351945812224 + 6649054187776 = 1830832^2 + 2578576^2 .

It is a sliding number, since 10001000000000 = 1000000000 + 10000000000000 and 1/1000000000 + 1/10000000000000 = 0.0000000010001000000000.

It is a tau number, because it is divible by the number of its divisors (400).

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 not an unprimeable number, because it can be changed into a prime (10001000000003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 72999999932 + ... + 73000000068.

Almost surely, 2^{10001000000000} is an apocalyptic number.

10001000000000 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 10001000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12752532873828).

10001000000000 is an abundant number, since it is smaller than the sum of its proper divisors (15504065747656).

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

10001000000000 is an frugal number, since it uses more digits than its factorization.

10001000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 217 counting only the distinct ones).

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

Adding to 10001000000000 its reverse (10001), we get a palindrome (10001000010001).

10001000000000 divided by its reverse (10001) gives a 9-th power (1000000000 = 10⁹).

The spelling of 10001000000000 in words is "ten trillion, one billion", and thus it is an aban number and an uban number.