11101000122120 has 256 divisors, whose sum is σ = 34193398579200. Its totient is φ = 2881825664000.

The previous prime is 11101000122089. The next prime is 11101000122197. The reversal of 11101000122120 is 2122100010111.

It is a super-2 number, since 2×11101000122120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11101000122096 and 11101000122105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1128260161 + ... + 1128269999.

It is an arithmetic number, because the mean of its divisors is an integer number (133567963200).

Almost surely, 2^{11101000122120} is an apocalyptic number.

11101000122120 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 11101000122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17096699289600).

11101000122120 is an abundant number, since it is smaller than the sum of its proper divisors (23092398457080).

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

11101000122120 is a wasteful number, since it uses less digits than its factorization.

11101000122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10948 (or 10944 counting only the distinct ones).

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

Adding to 11101000122120 its reverse (2122100010111), we get a palindrome (13223100132231).

The spelling of 11101000122120 in words is "eleven trillion, one hundred one billion, one hundred twenty-two thousand, one hundred twenty".