11100001201120 has 72 divisors (see below), whose sum is σ = 28396134798696. Its totient is φ = 4098461971968.

The previous prime is 11100001201099. The next prime is 11100001201153. The reversal of 11100001201120 is 2110210000111.

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 = 11100001201097 and 11100001201106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205224462 + ... + 205278541.

It is an arithmetic number, because the mean of its divisors is an integer number (394390761093).

Almost surely, 2^{11100001201120} is an apocalyptic number.

11100001201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11100001201120 is an abundant number, since it is smaller than the sum of its proper divisors (17296133597576).

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

11100001201120 is a wasteful number, since it uses less digits than its factorization.

11100001201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410503044 (or 410503023 counting only the distinct ones).

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

Adding to 11100001201120 its reverse (2110210000111), we get a palindrome (13210211201231).

The spelling of 11100001201120 in words is "eleven trillion, one hundred billion, one million, two hundred one thousand, one hundred twenty".