11011001002100 has 144 divisors (see below), whose sum is σ = 27714828637440. Its totient is φ = 3752701747200.

The previous prime is 11011001002021. The next prime is 11011001002129. The reversal of 11011001002100 is 120010011011.

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 47 ways as a sum of consecutive naturals, for example, 3237452 + ... + 5701148.

It is an arithmetic number, because the mean of its divisors is an integer number (192464087760).

Almost surely, 2^{11011001002100} is an apocalyptic number.

11011001002100 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 11011001002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13857414318720).

11011001002100 is an abundant number, since it is smaller than the sum of its proper divisors (16703827635340).

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

11011001002100 is a wasteful number, since it uses less digits than its factorization.

11011001002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2463978 (or 2463971 counting only the distinct ones).

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

Adding to 11011001002100 its reverse (120010011011), we get a palindrome (11131011013111).

The spelling of 11011001002100 in words is "eleven trillion, eleven billion, one million, two thousand, one hundred".