11002002122120 has 16 divisors (see below), whose sum is σ = 24754504774860. Its totient is φ = 4400800848832.

The previous prime is 11002002122077. The next prime is 11002002122131. The reversal of 11002002122120 is 2122120020011.

It can be written as a sum of positive squares in 2 ways, for example, as 9228678439876 + 1773323682244 = 3037874^2 + 1331662^2 .

It is a super-3 number, since 3×11002002122120³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11002002122095 and 11002002122104.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 137525026487 + ... + 137525026566.

Almost surely, 2^{11002002122120} is an apocalyptic number.

11002002122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002002122120 is an abundant number, since it is smaller than the sum of its proper divisors (13752502652740).

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

11002002122120 is a wasteful number, since it uses less digits than its factorization.

11002002122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275050053064 (or 275050053060 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11002002122120 its reverse (2122120020011), we get a palindrome (13124122142131).

The spelling of 11002002122120 in words is "eleven trillion, two billion, two million, one hundred twenty-two thousand, one hundred twenty".