11112201101120 has 112 divisors (see below), whose sum is σ = 30444022627200. Its totient is φ = 3784327624704.

The previous prime is 11112201101087. The next prime is 11112201101231. The reversal of 11112201101120 is 2110110221111.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 11112201101095 and 11112201101104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16313234 + ... + 16980753.

It is an arithmetic number, because the mean of its divisors is an integer number (271821630600).

Almost surely, 2^{11112201101120} is an apocalyptic number.

11112201101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11112201101120 is an abundant number, since it is smaller than the sum of its proper divisors (19331821526080).

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

11112201101120 is a wasteful number, since it uses less digits than its factorization.

11112201101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33294160 (or 33294150 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11112201101120 its reverse (2110110221111), we get a palindrome (13222311322231).

The spelling of 11112201101120 in words is "eleven trillion, one hundred twelve billion, two hundred one million, one hundred one thousand, one hundred twenty".