11000332102120 has 32 divisors (see below), whose sum is σ = 26053418138400. Its totient is φ = 4168546901568.

The previous prime is 11000332102093. The next prime is 11000332102127. The reversal of 11000332102120 is 2120123300011.

It is a junction number, because it is equal to n+sod(n) for n = 11000332102094 and 11000332102103.

It is not an unprimeable number, because it can be changed into a prime (11000332102127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7237059834 + ... + 7237061353.

It is an arithmetic number, because the mean of its divisors is an integer number (814169316825).

Almost surely, 2^{11000332102120} is an apocalyptic number.

11000332102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000332102120 is an abundant number, since it is smaller than the sum of its proper divisors (15053086036280).

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

11000332102120 is a wasteful number, since it uses less digits than its factorization.

11000332102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14474121217 (or 14474121213 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11000332102120 its reverse (2120123300011), we get a palindrome (13120455402131).

The spelling of 11000332102120 in words is "eleven trillion, three hundred thirty-two million, one hundred two thousand, one hundred twenty".