11211211100100 has 144 divisors (see below), whose sum is σ = 35737023059136. Its totient is φ = 2690959680000.

The previous prime is 11211211100081. The next prime is 11211211100179. The reversal of 11211211100100 is 100111211211.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16485199 + ... + 17151798.

It is an arithmetic number, because the mean of its divisors is an integer number (248173771244).

Almost surely, 2^{11211211100100} is an apocalyptic number.

11211211100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211211100100 is an abundant number, since it is smaller than the sum of its proper divisors (24525811959036).

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

11211211100100 is a wasteful number, since it uses less digits than its factorization.

11211211100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33637126 (or 33637119 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11211211100100 its reverse (100111211211), we get a palindrome (11311322311311).

It can be divided in two parts, 11211211 and 100100, that added together give a palindrome (11311311).

The spelling of 11211211100100 in words is "eleven trillion, two hundred eleven billion, two hundred eleven million, one hundred thousand, one hundred".