11211121021100 has 144 divisors (see below), whose sum is σ = 32664346181376. Its totient is φ = 3225577248000.

The previous prime is 11211121021069. The next prime is 11211121021103. The reversal of 11211121021100 is 112012111211.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (11211121021103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55899506 + ... + 56099705.

Almost surely, 2^{11211121021100} is an apocalyptic number.

11211121021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211121021100 is an abundant number, since it is smaller than the sum of its proper divisors (21453225160276).

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

11211121021100 is a wasteful number, since it uses less digits than its factorization.

11211121021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111999256 (or 111999249 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11211121021100 its reverse (112012111211), we get a palindrome (11323133132311).

The spelling of 11211121021100 in words is "eleven trillion, two hundred eleven billion, one hundred twenty-one million, twenty-one thousand, one hundred".