11102834680700 has 144 divisors (see below), whose sum is σ = 28750729835520. Its totient is φ = 3641070693120.

The previous prime is 11102834680649. The next prime is 11102834680709. The reversal of 11102834680700 is 708643820111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102834680709) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 383684 + ... + 4727883.

It is an arithmetic number, because the mean of its divisors is an integer number (199657846080).

Almost surely, 2^{11102834680700} is an apocalyptic number.

11102834680700 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 11102834680700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14375364917760).

11102834680700 is an abundant number, since it is smaller than the sum of its proper divisors (17647895154820).

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

11102834680700 is a wasteful number, since it uses less digits than its factorization.

11102834680700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5111724 (or 5111717 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The spelling of 11102834680700 in words is "eleven trillion, one hundred two billion, eight hundred thirty-four million, six hundred eighty thousand, seven hundred".