11002000101200 has 60 divisors (see below), whose sum is σ = 26522518171548. Its totient is φ = 4385780198400.

The previous prime is 11002000101193. The next prime is 11002000101227. The reversal of 11002000101200 is 210100020011.

It can be written as a sum of positive squares in 6 ways, for example, as 147821794576 + 10854178306624 = 384476^2 + 3294568^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

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, 46819661 + ... + 47054060.

Almost surely, 2^{11002000101200} is an apocalyptic number.

11002000101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002000101200 is an abundant number, since it is smaller than the sum of its proper divisors (15520518070348).

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

11002000101200 is a wasteful number, since it uses less digits than its factorization.

11002000101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93874032 (or 93874021 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11002000101200 its reverse (210100020011), we get a palindrome (11212100121211).

The spelling of 11002000101200 in words is "eleven trillion, two billion, one hundred one thousand, two hundred".