11102111110200 has 192 divisors, whose sum is σ = 37580731643520. Its totient is φ = 2688882496000.

The previous prime is 11102111110171. The next prime is 11102111110241. The reversal of 11102111110200 is 201111120111.

It is a super-2 number, since 2×11102111110200² (a number of 27 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6209887 + ... + 7795313.

It is an arithmetic number, because the mean of its divisors is an integer number (195732977310).

Almost surely, 2^{11102111110200} is an apocalyptic number.

11102111110200 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 11102111110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18790365821760).

11102111110200 is an abundant number, since it is smaller than the sum of its proper divisors (26478620533320).

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

11102111110200 is a wasteful number, since it uses less digits than its factorization.

11102111110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586518 (or 1586509 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11102111110200 its reverse (201111120111), we get a palindrome (11303222230311).

The spelling of 11102111110200 in words is "eleven trillion, one hundred two billion, one hundred eleven million, one hundred ten thousand, two hundred".