11001021221120 has 144 divisors (see below), whose sum is σ = 31886784010368. Its totient is φ = 3549909319680.

The previous prime is 11001021221117. The next prime is 11001021221149. The reversal of 11001021221120 is 2112212010011.

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

It is a junction number, because it is equal to n+sod(n) for n = 11001021221095 and 11001021221104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35959226 + ... + 36263865.

It is an arithmetic number, because the mean of its divisors is an integer number (221436000072).

Almost surely, 2^{11001021221120} is an apocalyptic number.

11001021221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001021221120 is an abundant number, since it is smaller than the sum of its proper divisors (20885762789248).

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

11001021221120 is an equidigital number, since it uses as much as digits as its factorization.

11001021221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72223136 (or 72223122 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11001021221120 its reverse (2112212010011), we get a palindrome (13113233231131).

The spelling of 11001021221120 in words is "eleven trillion, one billion, twenty-one million, two hundred twenty-one thousand, one hundred twenty".