11000010001000 has 64 divisors (see below), whose sum is σ = 25755195332880. Its totient is φ = 4397410508800.

The previous prime is 11000010000943. The next prime is 11000010001033. The reversal of 11000010001000 is 10001000011.

It can be written as a sum of positive squares in 8 ways, for example, as 631004632164 + 10369005368836 = 794358^2 + 3220094^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

11000010001000 is a modest number, since divided by 10001000 gives 110000 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1544017 + ... + 4938016.

Almost surely, 2^{11000010001000} is an apocalyptic number.

11000010001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000010001000 is an abundant number, since it is smaller than the sum of its proper divisors (14755185331880).

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

11000010001000 is a wasteful number, since it uses less digits than its factorization.

11000010001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6483751 (or 6483737 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 11000010001000 its reverse (10001000011), we get a palindrome (11010011001011).

The spelling of 11000010001000 in words is "eleven trillion, ten million, one thousand".