11010001001100 has 144 divisors (see below), whose sum is σ = 34990136321280. Its totient is φ = 2660540256000.

The previous prime is 11010001001063. The next prime is 11010001001101. The reversal of 11010001001100 is 110010001011.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is not an unprimeable number, because it can be changed into a prime (11010001001101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41859751 + ... + 42121950.

Almost surely, 2^{11010001001100} is an apocalyptic number.

11010001001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11010001001100 is an abundant number, since it is smaller than the sum of its proper divisors (23980135320180).

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

11010001001100 is a wasteful number, since it uses less digits than its factorization.

11010001001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83981760 (or 83981753 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 11010001001100 its reverse (110010001011), we get a palindrome (11120011002111).

The spelling of 11010001001100 in words is "eleven trillion, ten billion, one million, one thousand, one hundred".