11101202120200 has 192 divisors, whose sum is σ = 28112200704000. Its totient is φ = 4061334816000.

The previous prime is 11101202120147. The next prime is 11101202120207. The reversal of 11101202120200 is 202120210111.

It is not an unprimeable number, because it can be changed into a prime (11101202120207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49245745 + ... + 49470655.

It is an arithmetic number, because the mean of its divisors is an integer number (146417712000).

Almost surely, 2^{11101202120200} is an apocalyptic number.

11101202120200 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 11101202120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14056100352000).

11101202120200 is an abundant number, since it is smaller than the sum of its proper divisors (17010998583800).

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

11101202120200 is a wasteful number, since it uses less digits than its factorization.

11101202120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225396 (or 225387 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11101202120200 its reverse (202120210111), we get a palindrome (11303322330311).

The spelling of 11101202120200 in words is "eleven trillion, one hundred one billion, two hundred two million, one hundred twenty thousand, two hundred".