11201112100100 has 72 divisors (see below), whose sum is σ = 26814579856008. Its totient is φ = 4034922163200.

The previous prime is 11201112100093. The next prime is 11201112100109. The reversal of 11201112100100 is 100121110211.

It can be written as a sum of positive squares in 12 ways, for example, as 7477632444676 + 3723479655424 = 2734526^2 + 1929632^2 .

It is not an unprimeable number, because it can be changed into a prime (11201112100109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105022799 + ... + 105129398.

Almost surely, 2^{11201112100100} is an apocalyptic number.

11201112100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201112100100 is an abundant number, since it is smaller than the sum of its proper divisors (15613467755908).

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

11201112100100 is a wasteful number, since it uses less digits than its factorization.

11201112100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210152265 (or 210152258 counting only the distinct ones).

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

Adding to 11201112100100 its reverse (100121110211), we get a palindrome (11301233210311).

The spelling of 11201112100100 in words is "eleven trillion, two hundred one billion, one hundred twelve million, one hundred thousand, one hundred".