11001101002100 has 432 divisors, whose sum is σ = 28071344568960. Its totient is φ = 3728545920000.

The previous prime is 11001101002097. The next prime is 11001101002141. The reversal of 11001101002100 is 120010110011.

It is a happy number.

It is a congruent number.

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, 3877721882 + ... + 3877724718.

It is an arithmetic number, because the mean of its divisors is an integer number (64979964280).

Almost surely, 2^{11001101002100} is an apocalyptic number.

11001101002100 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 11001101002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14035672284480).

11001101002100 is an abundant number, since it is smaller than the sum of its proper divisors (17070243566860).

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

11001101002100 is a wasteful number, since it uses less digits than its factorization.

11001101002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3160 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11001101002100 its reverse (120010110011), we get a palindrome (11121111112111).

The spelling of 11001101002100 in words is "eleven trillion, one billion, one hundred one million, two thousand, one hundred".