11102002210200 has 384 divisors, whose sum is σ = 39585332448000. Its totient is φ = 2545591910400.

The previous prime is 11102002210183. The next prime is 11102002210261. The reversal of 11102002210200 is 201220020111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77300056 + ... + 77443544.

It is an arithmetic number, because the mean of its divisors is an integer number (103086803250).

Almost surely, 2^{11102002210200} is an apocalyptic number.

11102002210200 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 11102002210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19792666224000).

11102002210200 is an abundant number, since it is smaller than the sum of its proper divisors (28483330237800).

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

11102002210200 is a wasteful number, since it uses less digits than its factorization.

11102002210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144155 (or 144146 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11102002210200 its reverse (201220020111), we get a palindrome (11303222230311).

The spelling of 11102002210200 in words is "eleven trillion, one hundred two billion, two million, two hundred ten thousand, two hundred".