11000101120120 has 128 divisors (see below), whose sum is σ = 28334479933440. Its totient is φ = 3765000844800.

The previous prime is 11000101120109. The next prime is 11000101120123. The reversal of 11000101120120 is 2102110100011.

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 = 11000101120097 and 11000101120106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000101120123) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 471427974 + ... + 471451306.

It is an arithmetic number, because the mean of its divisors is an integer number (221363124480).

Almost surely, 2^{11000101120120} is an apocalyptic number.

11000101120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000101120120 is an abundant number, since it is smaller than the sum of its proper divisors (17334378813320).

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

11000101120120 is a wasteful number, since it uses less digits than its factorization.

11000101120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26165 (or 26161 counting only the distinct ones).

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

Adding to 11000101120120 its reverse (2102110100011), we get a palindrome (13102211220131).

The spelling of 11000101120120 in words is "eleven trillion, one hundred one million, one hundred twenty thousand, one hundred twenty".