11000010100000 has 144 divisors (see below), whose sum is σ = 28493273188800. Its totient is φ = 4168424160000.

The previous prime is 11000010099961. The next prime is 11000010100021. The reversal of 11000010100000 is 101000011.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 994740 + ... + 4794739.

It is an arithmetic number, because the mean of its divisors is an integer number (197869952700).

Almost surely, 2^{11000010100000} is an apocalyptic number.

11000010100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000010100000 is an abundant number, since it is smaller than the sum of its proper divisors (17493263088800).

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

11000010100000 is an frugal number, since it uses more digits than its factorization.

11000010100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5789533 (or 5789505 counting only the distinct ones).

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

Adding to 11000010100000 its reverse (101000011), we get a palindrome (11000111100011).

It can be divided in two parts, 1 and 1000010100000, that added together give a palindrome (1000010100001).

The spelling of 11000010100000 in words is "eleven trillion, ten million, one hundred thousand".