11201011120 has 80 divisors (see below), whose sum is σ = 28440804672. Its totient is φ = 4077480960.

The previous prime is 11201011061. The next prime is 11201011121. The reversal of 11201011120 is 2111010211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11201011120² (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 = 11201011097 and 11201011106.

It is not an unprimeable number, because it can be changed into a prime (11201011121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2007 + ... + 149686.

Almost surely, 2^11201011120 is an apocalyptic number.

11201011120 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 11201011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14220402336).

11201011120 is an abundant number, since it is smaller than the sum of its proper divisors (17239793552).

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

11201011120 is a wasteful number, since it uses less digits than its factorization.

11201011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151790 (or 151784 counting only the distinct ones).

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

Adding to 11201011120 its reverse (2111010211), we get a palindrome (13312021331).

Subtracting from 11201011120 its reverse (2111010211), we obtain a palindrome (9090000909).

The spelling of 11201011120 in words is "eleven billion, two hundred one million, eleven thousand, one hundred twenty".