11000102121200 has 240 divisors, whose sum is σ = 27285171065856. Its totient is φ = 4259212339200.

The previous prime is 11000102121193. The next prime is 11000102121227. The reversal of 11000102121200 is 212120100011.

It is a congruent number.

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, 1944508772 + ... + 1944514428.

Almost surely, 2^{11000102121200} is an apocalyptic number.

11000102121200 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 11000102121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13642585532928).

11000102121200 is an abundant number, since it is smaller than the sum of its proper divisors (16285068944656).

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

11000102121200 is a wasteful number, since it uses less digits than its factorization.

11000102121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6712 (or 6701 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11000102121200 its reverse (212120100011), we get a palindrome (11212222221211).

The spelling of 11000102121200 in words is "eleven trillion, one hundred two million, one hundred twenty-one thousand, two hundred".