11122000121100 has 144 divisors (see below), whose sum is σ = 35445903816960. Its totient is φ = 2670065260800.

The previous prime is 11122000121087. The next prime is 11122000121107. The reversal of 11122000121100 is 112100022111.

11122000121100 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 (12).

It is not an unprimeable number, because it can be changed into a prime (11122000121107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16020795 + ... + 16700594.

It is an arithmetic number, because the mean of its divisors is an integer number (246152109840).

Almost surely, 2^{11122000121100} is an apocalyptic number.

11122000121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122000121100 is an abundant number, since it is smaller than the sum of its proper divisors (24323903695860).

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

11122000121100 is a wasteful number, since it uses less digits than its factorization.

11122000121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32721520 (or 32721513 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11122000121100 its reverse (112100022111), we get a palindrome (11234100143211).

The spelling of 11122000121100 in words is "eleven trillion, one hundred twenty-two billion, one hundred twenty-one thousand, one hundred".