11121022010120 has 128 divisors (see below), whose sum is σ = 28019997498240. Its totient is φ = 3937498736640.

The previous prime is 11121022010101. The next prime is 11121022010123. The reversal of 11121022010120 is 2101022012111.

It is a junction number, because it is equal to n+sod(n) for n = 11121022010095 and 11121022010104.

It is not an unprimeable number, because it can be changed into a prime (11121022010123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5070524 + ... + 6924756.

It is an arithmetic number, because the mean of its divisors is an integer number (218906230455).

Almost surely, 2^{11121022010120} is an apocalyptic number.

11121022010120 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 11121022010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14009998749120).

11121022010120 is an abundant number, since it is smaller than the sum of its proper divisors (16898975488120).

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

11121022010120 is a wasteful number, since it uses less digits than its factorization.

11121022010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854615 (or 1854611 counting only the distinct ones).

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

Adding to 11121022010120 its reverse (2101022012111), we get a palindrome (13222044022231).

The spelling of 11121022010120 in words is "eleven trillion, one hundred twenty-one billion, twenty-two million, ten thousand, one hundred twenty".