11101101120 has 336 divisors, whose sum is σ = 41286623040. Its totient is φ = 2728194048.

The previous prime is 11101101107. The next prime is 11101101131. The reversal of 11101101120 is 2110110111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2021899 + ... + 2027381.

Almost surely, 2^11101101120 is an apocalyptic number.

11101101120 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 11101101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20643311520).

11101101120 is an abundant number, since it is smaller than the sum of its proper divisors (30185521920).

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

11101101120 is a wasteful number, since it uses less digits than its factorization.

11101101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5562 (or 5549 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11101101120 its reverse (2110110111), we get a palindrome (13211211231).

The spelling of 11101101120 in words is "eleven billion, one hundred one million, one hundred one thousand, one hundred twenty".