11002122120200 has 48 divisors (see below), whose sum is σ = 25582184460180. Its totient is φ = 4400461660160.

The previous prime is 11002122120179. The next prime is 11002122120211. The reversal of 11002122120200 is 202122120011.

It can be written as a sum of positive squares in 6 ways, for example, as 6932889109444 + 4069233010756 = 2633038^2 + 2017234^2 .

It is a super-2 number, since 2×11002122120200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135629 + ... + 4692828.

Almost surely, 2^{11002122120200} is an apocalyptic number.

11002122120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002122120200 is an abundant number, since it is smaller than the sum of its proper divisors (14580062339980).

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

11002122120200 is a wasteful number, since it uses less digits than its factorization.

11002122120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4839866 (or 4839857 counting only the distinct ones).

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

Adding to 11002122120200 its reverse (202122120011), we get a palindrome (11204244240211).

The spelling of 11002122120200 in words is "eleven trillion, two billion, one hundred twenty-two million, one hundred twenty thousand, two hundred".