11002102100200 has 192 divisors, whose sum is σ = 26351257005360. Its totient is φ = 4270653112320.

The previous prime is 11002102100137. The next prime is 11002102100243. The reversal of 11002102100200 is 200120120011.

It can be written as a sum of positive squares in 24 ways, for example, as 1392064900164 + 9610037200036 = 1179858^2 + 3100006^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225998262 + ... + 226046938.

Almost surely, 2^{11002102100200} is an apocalyptic number.

11002102100200 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 11002102100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13175628502680).

11002102100200 is an abundant number, since it is smaller than the sum of its proper divisors (15349154905160).

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

11002102100200 is a wasteful number, since it uses less digits than its factorization.

11002102100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49016 (or 49007 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11002102100200 its reverse (200120120011), we get a palindrome (11202222220211).

The spelling of 11002102100200 in words is "eleven trillion, two billion, one hundred two million, one hundred thousand, two hundred".