1000010001000 has 128 divisors (see below), whose sum is σ = 3125500709760. Its totient is φ = 266201856000.

The previous prime is 1000010000993. The next prime is 1000010001043. The reversal of 1000010001000 is 1000100001.

It is a Harshad number since it is a multiple of its sum of digits (3).

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

1000010001000 is a modest number, since divided by 10001000 gives 10000 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1421112 + ... + 2004888.

It is an arithmetic number, because the mean of its divisors is an integer number (24417974295).

Almost surely, 2^{1000010001000} is an apocalyptic number.

1000010001000 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 1000010001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562750354880).

1000010001000 is an abundant number, since it is smaller than the sum of its proper divisors (2125490708760).

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

1000010001000 is a wasteful number, since it uses less digits than its factorization.

1000010001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584372 (or 584358 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

Adding to 1000010001000 its reverse (1000100001), we get a palindrome (1001010101001).

Subtracting from 1000010001000 its reverse (1000100001), we obtain a palindrome (999009900999).

The spelling of 1000010001000 in words is "one trillion, ten million, one thousand".