11201002002100 has 36 divisors (see below), whose sum is σ = 24306450436044. Its totient is φ = 4480349908480.

The previous prime is 11201002002089. The next prime is 11201002002137. The reversal of 11201002002100 is 120020010211.

It can be written as a sum of positive squares in 6 ways, for example, as 265797989136 + 10935204012964 = 515556^2 + 3306842^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8926722 + ... + 10103878.

It is an arithmetic number, because the mean of its divisors is an integer number (675179178779).

Almost surely, 2^{11201002002100} is an apocalyptic number.

11201002002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201002002100 is an abundant number, since it is smaller than the sum of its proper divisors (13105448433944).

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

11201002002100 is a wasteful number, since it uses less digits than its factorization.

11201002002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272324 (or 1272317 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11201002002100 its reverse (120020010211), we get a palindrome (11321022012311).

The spelling of 11201002002100 in words is "eleven trillion, two hundred one billion, two million, two thousand, one hundred".