11011121221100 has 144 divisors (see below), whose sum is σ = 32081633477376. Its totient is φ = 3168034848000.

The previous prime is 11011121221039. The next prime is 11011121221123. The reversal of 11011121221100 is 112212111011.

11011121221100 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 (14).

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, 54900506 + ... + 55100705.

Almost surely, 2^{11011121221100} is an apocalyptic number.

11011121221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011121221100 is an abundant number, since it is smaller than the sum of its proper divisors (21070512256276).

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

11011121221100 is a wasteful number, since it uses less digits than its factorization.

11011121221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110001256 (or 110001249 counting only the distinct ones).

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

Adding to 11011121221100 its reverse (112212111011), we get a palindrome (11123333332111).

The spelling of 11011121221100 in words is "eleven trillion, eleven billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred".