11100200212100 has 36 divisors (see below), whose sum is σ = 24096046949604. Its totient is φ = 4438492529280.

The previous prime is 11100200212063. The next prime is 11100200212109. The reversal of 11100200212100 is 121200200111.

11100200212100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 260881906756 + 10839318305344 = 510766^2 + 3292312^2 .

It is not an unprimeable number, because it can be changed into a prime (11100200212109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19563347 + ... + 20122746.

It is an arithmetic number, because the mean of its divisors is an integer number (669334637489).

Almost surely, 2^{11100200212100} is an apocalyptic number.

11100200212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11100200212100 is an abundant number, since it is smaller than the sum of its proper divisors (12995846737504).

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

11100200212100 is a wasteful number, since it uses less digits than its factorization.

11100200212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39688904 (or 39688897 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11100200212100 its reverse (121200200111), we get a palindrome (11221400412211).

The spelling of 11100200212100 in words is "eleven trillion, one hundred billion, two hundred million, two hundred twelve thousand, one hundred".