11010002111120 has 80 divisors (see below), whose sum is σ = 25889147832240. Its totient is φ = 4354130073600.

The previous prime is 11010002111093. The next prime is 11010002111161. The reversal of 11010002111120 is 2111120001011.

It can be written as a sum of positive squares in 8 ways, for example, as 38246842624 + 10971755268496 = 195568^2 + 3312364^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2650490 + ... + 5389350.

It is an arithmetic number, because the mean of its divisors is an integer number (323614347903).

Almost surely, 2^{11010002111120} is an apocalyptic number.

11010002111120 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 11010002111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12944573916120).

11010002111120 is an abundant number, since it is smaller than the sum of its proper divisors (14879145721120).

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

11010002111120 is a wasteful number, since it uses less digits than its factorization.

11010002111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739444 (or 2739438 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11010002111120 its reverse (2111120001011), we get a palindrome (13121122112131).

The spelling of 11010002111120 in words is "eleven trillion, ten billion, two million, one hundred eleven thousand, one hundred twenty".