11102111302200 has 192 divisors, whose sum is σ = 35919759916800. Its totient is φ = 2831303270400.

The previous prime is 11102111302199. The next prime is 11102111302231. The reversal of 11102111302200 is 220311120111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11102111302200.

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, 75011871 + ... + 75159729.

It is an arithmetic number, because the mean of its divisors is an integer number (187082082900).

Almost surely, 2^{11102111302200} is an apocalyptic number.

11102111302200 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 11102111302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17959879958400).

11102111302200 is an abundant number, since it is smaller than the sum of its proper divisors (24817648614600).

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

11102111302200 is a wasteful number, since it uses less digits than its factorization.

11102111302200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153342 (or 153333 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11102111302200 its reverse (220311120111), we get a palindrome (11322422422311).

The spelling of 11102111302200 in words is "eleven trillion, one hundred two billion, one hundred eleven million, three hundred two thousand, two hundred".