11101222201120 has 48 divisors (see below), whose sum is σ = 26342173384128. Its totient is φ = 4420927240960.

The previous prime is 11101222201081. The next prime is 11101222201127. The reversal of 11101222201120 is 2110222210111.

It is a super-3 number, since 3×11101222201120³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11101222201094 and 11101222201103.

It is not an unprimeable number, because it can be changed into a prime (11101222201127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152788876 + ... + 152861515.

It is an arithmetic number, because the mean of its divisors is an integer number (548795278836).

Almost surely, 2^{11101222201120} is an apocalyptic number.

11101222201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101222201120 is an abundant number, since it is smaller than the sum of its proper divisors (15240951183008).

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

11101222201120 is a wasteful number, since it uses less digits than its factorization.

11101222201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305650633 (or 305650625 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11101222201120 its reverse (2110222210111), we get a palindrome (13211444411231).

The spelling of 11101222201120 in words is "eleven trillion, one hundred one billion, two hundred twenty-two million, two hundred one thousand, one hundred twenty".