11103200101120 has 144 divisors (see below), whose sum is σ = 27219672893952. Its totient is φ = 4337112084480.

The previous prime is 11103200101067. The next prime is 11103200101141. The reversal of 11103200101120 is 2110100230111.

It is a happy number.

It is a super-2 number, since 2×11103200101120² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11103200101120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314315779 + ... + 314351101.

It is an arithmetic number, because the mean of its divisors is an integer number (189025506208).

Almost surely, 2^{11103200101120} is an apocalyptic number.

11103200101120 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 11103200101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13609836446976).

11103200101120 is an abundant number, since it is smaller than the sum of its proper divisors (16116472792832).

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

11103200101120 is an equidigital number, since it uses as much as digits as its factorization.

11103200101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41098 (or 41084 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 11103200101120 its reverse (2110100230111), we get a palindrome (13213300331231).

The spelling of 11103200101120 in words is "eleven trillion, one hundred three billion, two hundred million, one hundred one thousand, one hundred twenty".