1000001000000 has 196 divisors, whose sum is σ = 2505251291748. Its totient is φ = 396000000000.

The previous prime is 1000000999999. The next prime is 1000001000021. The reversal of 1000001000000 is 1000001.

Added to its reverse (1000001) it gives a square (1000002000001 = 1000001²).

It can be written as a sum of positive squares in 14 ways, for example, as 974816579584 + 25184420416 = 987328^2 + 158696^2 .

It is a sliding number, since 1000001000000 = 1000000 + 1000000000000 and 1/1000000 + 1/1000000000000 = 0.000001000001000000.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 100995050 + ... + 101004950.

Almost surely, 2^{1000001000000} is an apocalyptic number.

1000001000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 1000000×1000001.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000001000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252625645874).

1000001000000 is an abundant number, since it is smaller than the sum of its proper divisors (1505250291748).

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

1000001000000 is an frugal number, since it uses more digits than its factorization.

1000001000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10044 (or 10009 counting only the distinct ones).

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

Adding to 1000001000000 its reverse (1000001), we get a palindrome (1000002000001).

Subtracting from 1000001000000 its reverse (1000001), we obtain a palindrome (999999999999).

1000001000000 divided by its reverse (1000001) gives a 6-th power (1000000 = 10⁶).

The spelling of 1000001000000 in words is "one trillion, one million", and thus it is an aban number and an uban number.