11102101201100 has 432 divisors, whose sum is σ = 31275940711680. Its totient is φ = 3386541312000.

The previous prime is 11102101201069. The next prime is 11102101201123. The reversal of 11102101201100 is 110210120111.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1121306150 + ... + 1121316050.

Almost surely, 2^{11102101201100} is an apocalyptic number.

11102101201100 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 11102101201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15637970355840).

11102101201100 is an abundant number, since it is smaller than the sum of its proper divisors (20173839510580).

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

11102101201100 is a wasteful number, since it uses less digits than its factorization.

11102101201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10578 (or 10564 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11102101201100 its reverse (110210120111), we get a palindrome (11212311321211).

The spelling of 11102101201100 in words is "eleven trillion, one hundred two billion, one hundred one million, two hundred one thousand, one hundred".