11102201023120 has 40 divisors (see below), whose sum is σ = 25847546633280. Its totient is φ = 4434871075200.

The previous prime is 11102201023099. The next prime is 11102201023171. The reversal of 11102201023120 is 2132010220111.

11102201023120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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 = 11102201023094 and 11102201023103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93836356 + ... + 93954595.

It is an arithmetic number, because the mean of its divisors is an integer number (646188665832).

Almost surely, 2^{11102201023120} is an apocalyptic number.

11102201023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11102201023120 is an abundant number, since it is smaller than the sum of its proper divisors (14745345610160).

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

11102201023120 is a wasteful number, since it uses less digits than its factorization.

11102201023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187791703 (or 187791697 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11102201023120 its reverse (2132010220111), we get a palindrome (13234211243231).

The spelling of 11102201023120 in words is "eleven trillion, one hundred two billion, two hundred one million, twenty-three thousand, one hundred twenty".