11120110102200 has 192 divisors, whose sum is σ = 37610524915200. Its totient is φ = 2695473561600.

The previous prime is 11120110102187. The next prime is 11120110102223. The reversal of 11120110102200 is 220101102111.

It is a super-3 number, since 3×11120110102200³ (a number of 40 digits) contains 333 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59987256 + ... + 60172344.

It is an arithmetic number, because the mean of its divisors is an integer number (195888150600).

Almost surely, 2^{11120110102200} is an apocalyptic number.

11120110102200 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 11120110102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18805262457600).

11120110102200 is an abundant number, since it is smaller than the sum of its proper divisors (26490414813000).

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

11120110102200 is a wasteful number, since it uses less digits than its factorization.

11120110102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194222 (or 194213 counting only the distinct ones).

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

Adding to 11120110102200 its reverse (220101102111), we get a palindrome (11340211204311).

The spelling of 11120110102200 in words is "eleven trillion, one hundred twenty billion, one hundred ten million, one hundred two thousand, two hundred".