11101210120 has 512 divisors, whose sum is σ = 36369285120. Its totient is φ = 2933637120.

The previous prime is 11101210097. The next prime is 11101210139. The reversal of 11101210120 is 2101210111.

It is a super-2 number, since 2×11101210120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11101210097 and 11101210106.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31991787 + ... + 31992133.

It is an arithmetic number, because the mean of its divisors is an integer number (71033760).

Almost surely, 2^11101210120 is an apocalyptic number.

11101210120 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 11101210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18184642560).

11101210120 is an abundant number, since it is smaller than the sum of its proper divisors (25268075000).

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

11101210120 is a wasteful number, since it uses less digits than its factorization.

11101210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11101210120 its reverse (2101210111), we get a palindrome (13202420231).

Subtracting from 11101210120 its reverse (2101210111), we obtain a palindrome (9000000009).

The spelling of 11101210120 in words is "eleven billion, one hundred one million, two hundred ten thousand, one hundred twenty".