11221111121100 has 144 divisors (see below), whose sum is σ = 33381012811776. Its totient is φ = 2908540224000.

The previous prime is 11221111121081. The next prime is 11221111121113. The reversal of 11221111121100 is 112111112211.

11221111121100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11221111121100.

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, 1650117 + ... + 5016483.

Almost surely, 2^{11221111121100} is an apocalyptic number.

11221111121100 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 11221111121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16690506405888).

11221111121100 is an abundant number, since it is smaller than the sum of its proper divisors (22159901690676).

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

11221111121100 is a wasteful number, since it uses less digits than its factorization.

11221111121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3366696 (or 3366689 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 11221111121100 its reverse (112111112211), we get a palindrome (11333222233311).

It can be divided in two parts, 112211111 and 21100, that added together give a palindrome (112232211).

The spelling of 11221111121100 in words is "eleven trillion, two hundred twenty-one billion, one hundred eleven million, one hundred twenty-one thousand, one hundred".