11211121120100 has 144 divisors (see below), whose sum is σ = 27705812714496. Its totient is φ = 3897812688000.

The previous prime is 11211121120033. The next prime is 11211121120141. The reversal of 11211121120100 is 102112111211.

It is an unprimeable number.

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, 58372427 + ... + 58564173.

It is an arithmetic number, because the mean of its divisors is an integer number (192401477184).

Almost surely, 2^{11211121120100} is an apocalyptic number.

11211121120100 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 11211121120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13852906357248).

11211121120100 is an abundant number, since it is smaller than the sum of its proper divisors (16494691594396).

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

11211121120100 is a wasteful number, since it uses less digits than its factorization.

11211121120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194106 (or 194099 counting only the distinct ones).

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

Adding to 11211121120100 its reverse (102112111211), we get a palindrome (11313233231311).

The spelling of 11211121120100 in words is "eleven trillion, two hundred eleven billion, one hundred twenty-one million, one hundred twenty thousand, one hundred".