11000102110120 has 16 divisors (see below), whose sum is σ = 24750229747860. Its totient is φ = 4400040844032.

The previous prime is 11000102110111. The next prime is 11000102110163. The reversal of 11000102110120 is 2101120100011.

It can be written as a sum of positive squares in 2 ways, for example, as 9373921162596 + 1626180947524 = 3061686^2 + 1275218^2 .

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 = 11000102110097 and 11000102110106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 137501276337 + ... + 137501276416.

Almost surely, 2^{11000102110120} is an apocalyptic number.

11000102110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000102110120 is an abundant number, since it is smaller than the sum of its proper divisors (13750127637740).

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

11000102110120 is a wasteful number, since it uses less digits than its factorization.

11000102110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275002552764 (or 275002552760 counting only the distinct ones).

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

Adding to 11000102110120 its reverse (2101120100011), we get a palindrome (13101222210131).

The spelling of 11000102110120 in words is "eleven trillion, one hundred two million, one hundred ten thousand, one hundred twenty".