11102121010200 has 1152 divisors, whose sum is σ = 39642482718720. Its totient is φ = 2566080000000.

The previous prime is 11102121010171. The next prime is 11102121010213. The reversal of 11102121010200 is 201012120111.

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 287 ways as a sum of consecutive naturals, for example, 40967236065 + ... + 40967236335.

It is an arithmetic number, because the mean of its divisors is an integer number (34411877360).

Almost surely, 2^{11102121010200} is an apocalyptic number.

11102121010200 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 11102121010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19821241359360).

11102121010200 is an abundant number, since it is smaller than the sum of its proper divisors (28540361708520).

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

11102121010200 is a wasteful number, since it uses less digits than its factorization.

11102121010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11102121010200 its reverse (201012120111), we get a palindrome (11303133130311).

The spelling of 11102121010200 in words is "eleven trillion, one hundred two billion, one hundred twenty-one million, ten thousand, two hundred".