11042002101024 has 72 divisors (see below), whose sum is σ = 31415361596892. Its totient is φ = 3678948026880.

The previous prime is 11042002100989. The next prime is 11042002101037. The reversal of 11042002101024 is 42010120024011.

11042002101024 is a `hidden beast` number, since 1 + 1 + 0 + 420 + 0 + 210 + 10 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7425995604624 + 3616006496400 = 2725068^2 + 1901580^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11042002100988 and 11042002101006.

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 11 ways as a sum of consecutive naturals, for example, 8337219 + ... + 9570434.

Almost surely, 2^{11042002101024} is an apocalyptic number.

It is an amenable number.

11042002101024 is an abundant number, since it is smaller than the sum of its proper divisors (20373359495868).

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

11042002101024 is a wasteful number, since it uses less digits than its factorization.

11042002101024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17909810 (or 17909799 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11042002101024 its reverse (42010120024011), we get a palindrome (53052122125035).

The spelling of 11042002101024 in words is "eleven trillion, forty-two billion, two million, one hundred one thousand, twenty-four".