11210200112100 has 144 divisors (see below), whose sum is σ = 35393727531456. Its totient is φ = 2716836288000.

The previous prime is 11210200112071. The next prime is 11210200112117. The reversal of 11210200112100 is 121100201211.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 10930542 + ... + 11912058.

It is an arithmetic number, because the mean of its divisors is an integer number (245789774524).

Almost surely, 2^{11210200112100} is an apocalyptic number.

11210200112100 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 11210200112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17696863765728).

11210200112100 is an abundant number, since it is smaller than the sum of its proper divisors (24183527419356).

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

11210200112100 is a wasteful number, since it uses less digits than its factorization.

11210200112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985006 (or 984999 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11210200112100 its reverse (121100201211), we get a palindrome (11331300313311).

The spelling of 11210200112100 in words is "eleven trillion, two hundred ten billion, two hundred million, one hundred twelve thousand, one hundred".