11102034300120 has 128 divisors (see below), whose sum is σ = 37023098904000. Its totient is φ = 2959237048320.

The previous prime is 11102034300107. The next prime is 11102034300143. The reversal of 11102034300120 is 2100343020111.

11102034300120 is a `hidden beast` number, since 1 + 1 + 10 + 203 + 430 + 0 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11102034300093 and 11102034300102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185280 + ... + 4715760.

Almost surely, 2^{11102034300120} is an apocalyptic number.

11102034300120 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 11102034300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18511549452000).

11102034300120 is an abundant number, since it is smaller than the sum of its proper divisors (25921064603880).

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

11102034300120 is a wasteful number, since it uses less digits than its factorization.

11102034300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4532770 (or 4532760 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11102034300120 its reverse (2100343020111), we get a palindrome (13202377320231).

The spelling of 11102034300120 in words is "eleven trillion, one hundred two billion, thirty-four million, three hundred thousand, one hundred twenty".