11000010101000 has 32 divisors (see below), whose sum is σ = 25740023638680. Its totient is φ = 4400004040000.

The previous prime is 11000010100991. The next prime is 11000010101009. The reversal of 11000010101000 is 10101000011.

It is an interprime number because it is at equal distance from previous prime (11000010100991) and next prime (11000010101009).

It can be written as a sum of positive squares in 4 ways, for example, as 795524854084 + 10204485246916 = 891922^2 + 3194446^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (11000010101009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5500004051 + ... + 5500006050.

Almost surely, 2^{11000010101000} is an apocalyptic number.

11000010101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000010101000 is an abundant number, since it is smaller than the sum of its proper divisors (14740013537680).

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

11000010101000 is a wasteful number, since it uses less digits than its factorization.

11000010101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11000010122 (or 11000010108 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 11000010101000 its reverse (10101000011), we get a palindrome (11010111101011).

The spelling of 11000010101000 in words is "eleven trillion, ten million, one hundred one thousand".